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Finding the Fourth Proportional to 102,473.87, 153,666.16 and 54,431.96

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Solution

The fourth proportional to 102,473.87, 153,666.16 and 54,431.96 is: 81,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,473.87 : 153,666.16 = 54,431.96 : x
  2. Step 2: Convert to fraction form
    102,473.87/153,666.16 = 54,431.96/x
  3. Step 3: Cross multiply
    102,473.87x = 153,666.16 × 54,431.96
  4. Step 4: Simplify right side
    102,473.87x = 8,364,350,002.31
  5. Step 5: Solve for x
    x = 8,364,350,002.31/102,473.87
  6. Step 6: Final answer
    x = 81,624.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.