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Finding the Fourth Proportional to 160,877.40, 221,978.64 and 97,218.60

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Solution

The fourth proportional to 160,877.40, 221,978.64 and 97,218.60 is: 134,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,877.40 : 221,978.64 = 97,218.60 : x
  2. Step 2: Convert to fraction form
    160,877.40/221,978.64 = 97,218.60/x
  3. Step 3: Cross multiply
    160,877.40x = 221,978.64 × 97,218.60
  4. Step 4: Simplify right side
    160,877.40x = 21,580,452,610.70
  5. Step 5: Solve for x
    x = 21,580,452,610.70/160,877.40
  6. Step 6: Final answer
    x = 134,142.23

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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.