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Finding the Fourth Proportional to 78,160, 107,862.08 and 55,841.92

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Solution

The fourth proportional to 78,160, 107,862.08 and 55,841.92 is: 77,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,160 : 107,862.08 = 55,841.92 : x
  2. Step 2: Convert to fraction form
    78,160/107,862.08 = 55,841.92/x
  3. Step 3: Cross multiply
    78,160x = 107,862.08 × 55,841.92
  4. Step 4: Simplify right side
    78,160x = 6,023,225,642.39
  5. Step 5: Solve for x
    x = 6,023,225,642.39/78,160
  6. Step 6: Final answer
    x = 77,062.76

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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.