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Finding the Fourth Proportional to 102,471.96, 153,731.70 and 40,143

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Solution

The fourth proportional to 102,471.96, 153,731.70 and 40,143 is: 60,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,471.96 : 153,731.70 = 40,143 : x
  2. Step 2: Convert to fraction form
    102,471.96/153,731.70 = 40,143/x
  3. Step 3: Cross multiply
    102,471.96x = 153,731.70 × 40,143
  4. Step 4: Simplify right side
    102,471.96x = 6,171,251,633.10
  5. Step 5: Solve for x
    x = 6,171,251,633.10/102,471.96
  6. Step 6: Final answer
    x = 60,223.81

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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.