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Finding the Fourth Proportional to 154,140, 231,232.02 and 47,532.96

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Solution

The fourth proportional to 154,140, 231,232.02 and 47,532.96 is: 71,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,140 : 231,232.02 = 47,532.96 : x
  2. Step 2: Convert to fraction form
    154,140/231,232.02 = 47,532.96/x
  3. Step 3: Cross multiply
    154,140x = 231,232.02 × 47,532.96
  4. Step 4: Simplify right side
    154,140x = 10,991,142,357.38
  5. Step 5: Solve for x
    x = 10,991,142,357.38/154,140
  6. Step 6: Final answer
    x = 71,306.23

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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.