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Finding the Fourth Proportional to 78,021.92, 107,780.47 and 62,085.98

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Solution

The fourth proportional to 78,021.92, 107,780.47 and 62,085.98 is: 85,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,021.92 : 107,780.47 = 62,085.98 : x
  2. Step 2: Convert to fraction form
    78,021.92/107,780.47 = 62,085.98/x
  3. Step 3: Cross multiply
    78,021.92x = 107,780.47 × 62,085.98
  4. Step 4: Simplify right side
    78,021.92x = 6,691,655,410.69
  5. Step 5: Solve for x
    x = 6,691,655,410.69/78,021.92
  6. Step 6: Final answer
    x = 85,766.36

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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.