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Finding the Fourth Proportional to 78,372.88, 117,349.40 and 65,931.28

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Solution

The fourth proportional to 78,372.88, 117,349.40 and 65,931.28 is: 98,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,372.88 : 117,349.40 = 65,931.28 : x
  2. Step 2: Convert to fraction form
    78,372.88/117,349.40 = 65,931.28/x
  3. Step 3: Cross multiply
    78,372.88x = 117,349.40 × 65,931.28
  4. Step 4: Simplify right side
    78,372.88x = 7,736,996,149.23
  5. Step 5: Solve for x
    x = 7,736,996,149.23/78,372.88
  6. Step 6: Final answer
    x = 98,720.32

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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.