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Finding the Fourth Proportional to 78,160.96, 107,864.13 and 47,962.97

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Solution

The fourth proportional to 78,160.96, 107,864.13 and 47,962.97 is: 66,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160.96 : 107,864.13 = 47,962.97 : x
  2. Step 2: Convert to fraction form
    78,160.96/107,864.13 = 47,962.97/x
  3. Step 3: Cross multiply
    78,160.96x = 107,864.13 × 47,962.97
  4. Step 4: Simplify right side
    78,160.96x = 5,173,484,031.27
  5. Step 5: Solve for x
    x = 5,173,484,031.27/78,160.96
  6. Step 6: Final answer
    x = 66,190.13

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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.