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Finding the Fourth Proportional to 78,337.71, 117,509.31 and 25,751.25

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Solution

The fourth proportional to 78,337.71, 117,509.31 and 25,751.25 is: 38,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,337.71 : 117,509.31 = 25,751.25 : x
  2. Step 2: Convert to fraction form
    78,337.71/117,509.31 = 25,751.25/x
  3. Step 3: Cross multiply
    78,337.71x = 117,509.31 × 25,751.25
  4. Step 4: Simplify right side
    78,337.71x = 3,026,011,619.14
  5. Step 5: Solve for x
    x = 3,026,011,619.14/78,337.71
  6. Step 6: Final answer
    x = 38,627.78

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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.