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Finding the Fourth Proportional to 71,567.60, 107,351.40 and 65,865.20

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Solution

The fourth proportional to 71,567.60, 107,351.40 and 65,865.20 is: 98,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,567.60 : 107,351.40 = 65,865.20 : x
  2. Step 2: Convert to fraction form
    71,567.60/107,351.40 = 65,865.20/x
  3. Step 3: Cross multiply
    71,567.60x = 107,351.40 × 65,865.20
  4. Step 4: Simplify right side
    71,567.60x = 7,070,721,431.28
  5. Step 5: Solve for x
    x = 7,070,721,431.28/71,567.60
  6. Step 6: Final answer
    x = 98,797.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.