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Finding the Fourth Proportional to 160,585,978.97, 221,608,650.65 and 90,971,359.76

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Solution

The fourth proportional to 160,585,978.97, 221,608,650.65 and 90,971,359.76 is: 125,540,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,585,978.97 : 221,608,650.65 = 90,971,359.76 : x
  2. Step 2: Convert to fraction form
    160,585,978.97/221,608,650.65 = 90,971,359.76/x
  3. Step 3: Cross multiply
    160,585,978.97x = 221,608,650.65 × 90,971,359.76
  4. Step 4: Simplify right side
    160,585,978.97x = 20,160,040,284,209,308
  5. Step 5: Solve for x
    x = 20,160,040,284,209,308/160,585,978.97
  6. Step 6: Final answer
    x = 125,540,476.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.