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Finding the Fourth Proportional to 74,657.76, 102,998.16 and 51,990.72

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Solution

The fourth proportional to 74,657.76, 102,998.16 and 51,990.72 is: 71,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,657.76 : 102,998.16 = 51,990.72 : x
  2. Step 2: Convert to fraction form
    74,657.76/102,998.16 = 51,990.72/x
  3. Step 3: Cross multiply
    74,657.76x = 102,998.16 × 51,990.72
  4. Step 4: Simplify right side
    74,657.76x = 5,354,948,497.08
  5. Step 5: Solve for x
    x = 5,354,948,497.08/74,657.76
  6. Step 6: Final answer
    x = 71,726.62

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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.