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Finding the Fourth Proportional to 102,624.30, 153,790.65 and 71,423.10

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Solution

The fourth proportional to 102,624.30, 153,790.65 and 71,423.10 is: 107,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,624.30 : 153,790.65 = 71,423.10 : x
  2. Step 2: Convert to fraction form
    102,624.30/153,790.65 = 71,423.10/x
  3. Step 3: Cross multiply
    102,624.30x = 153,790.65 × 71,423.10
  4. Step 4: Simplify right side
    102,624.30x = 10,984,204,974.02
  5. Step 5: Solve for x
    x = 10,984,204,974.02/102,624.30
  6. Step 6: Final answer
    x = 107,033.18

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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.