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Finding the Fourth Proportional to 78,098.74, 107,695.71 and 66,805.62

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Solution

The fourth proportional to 78,098.74, 107,695.71 and 66,805.62 is: 92,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,098.74 : 107,695.71 = 66,805.62 : x
  2. Step 2: Convert to fraction form
    78,098.74/107,695.71 = 66,805.62/x
  3. Step 3: Cross multiply
    78,098.74x = 107,695.71 × 66,805.62
  4. Step 4: Simplify right side
    78,098.74x = 7,194,678,677.89
  5. Step 5: Solve for x
    x = 7,194,678,677.89/78,098.74
  6. Step 6: Final answer
    x = 92,122.85

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1.5x scale

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.