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Finding the Fourth Proportional to 160,920.76, 221,978.31 and 100,386.28

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Solution

The fourth proportional to 160,920.76, 221,978.31 and 100,386.28 is: 138,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,920.76 : 221,978.31 = 100,386.28 : x
  2. Step 2: Convert to fraction form
    160,920.76/221,978.31 = 100,386.28/x
  3. Step 3: Cross multiply
    160,920.76x = 221,978.31 × 100,386.28
  4. Step 4: Simplify right side
    160,920.76x = 22,283,576,781.59
  5. Step 5: Solve for x
    x = 22,283,576,781.59/160,920.76
  6. Step 6: Final answer
    x = 138,475.46

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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.