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Finding the Fourth Proportional to 154,473.30, 231,537.15 and 65,711.70

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Solution

The fourth proportional to 154,473.30, 231,537.15 and 65,711.70 is: 98,494.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,473.30 : 231,537.15 = 65,711.70 : x
  2. Step 2: Convert to fraction form
    154,473.30/231,537.15 = 65,711.70/x
  3. Step 3: Cross multiply
    154,473.30x = 231,537.15 × 65,711.70
  4. Step 4: Simplify right side
    154,473.30x = 15,214,699,739.66
  5. Step 5: Solve for x
    x = 15,214,699,739.66/154,473.30
  6. Step 6: Final answer
    x = 98,494.04

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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.