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Finding the Fourth Proportional to 115,727.78, 159,702.90 and 67,985.48

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Solution

The fourth proportional to 115,727.78, 159,702.90 and 67,985.48 is: 93,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,727.78 : 159,702.90 = 67,985.48 : x
  2. Step 2: Convert to fraction form
    115,727.78/159,702.90 = 67,985.48/x
  3. Step 3: Cross multiply
    115,727.78x = 159,702.90 × 67,985.48
  4. Step 4: Simplify right side
    115,727.78x = 10,857,478,313.89
  5. Step 5: Solve for x
    x = 10,857,478,313.89/115,727.78
  6. Step 6: Final answer
    x = 93,819.12

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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.