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Finding the Fourth Proportional to 78,780.92, 108,718.01 and 42,971.70

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Solution

The fourth proportional to 78,780.92, 108,718.01 and 42,971.70 is: 59,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,780.92 : 108,718.01 = 42,971.70 : x
  2. Step 2: Convert to fraction form
    78,780.92/108,718.01 = 42,971.70/x
  3. Step 3: Cross multiply
    78,780.92x = 108,718.01 × 42,971.70
  4. Step 4: Simplify right side
    78,780.92x = 4,671,797,495.46
  5. Step 5: Solve for x
    x = 4,671,797,495.46/78,780.92
  6. Step 6: Final answer
    x = 59,301.13

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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.