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Finding the Fourth Proportional to 74,123.76, 102,450.78 and 65,565.30

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Solution

The fourth proportional to 74,123.76, 102,450.78 and 65,565.30 is: 90,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,123.76 : 102,450.78 = 65,565.30 : x
  2. Step 2: Convert to fraction form
    74,123.76/102,450.78 = 65,565.30/x
  3. Step 3: Cross multiply
    74,123.76x = 102,450.78 × 65,565.30
  4. Step 4: Simplify right side
    74,123.76x = 6,717,216,125.93
  5. Step 5: Solve for x
    x = 6,717,216,125.93/74,123.76
  6. Step 6: Final answer
    x = 90,621.63

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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.