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Finding the Fourth Proportional to 77,985.72, 116,978.40 and 25,395.12

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Solution

The fourth proportional to 77,985.72, 116,978.40 and 25,395.12 is: 38,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985.72 : 116,978.40 = 25,395.12 : x
  2. Step 2: Convert to fraction form
    77,985.72/116,978.40 = 25,395.12/x
  3. Step 3: Cross multiply
    77,985.72x = 116,978.40 × 25,395.12
  4. Step 4: Simplify right side
    77,985.72x = 2,970,680,505.41
  5. Step 5: Solve for x
    x = 2,970,680,505.41/77,985.72
  6. Step 6: Final answer
    x = 38,092.62

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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.