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Finding the Fourth Proportional to 102,687.24, 153,939.90 and 40,343.40

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Solution

The fourth proportional to 102,687.24, 153,939.90 and 40,343.40 is: 60,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,687.24 : 153,939.90 = 40,343.40 : x
  2. Step 2: Convert to fraction form
    102,687.24/153,939.90 = 40,343.40/x
  3. Step 3: Cross multiply
    102,687.24x = 153,939.90 × 40,343.40
  4. Step 4: Simplify right side
    102,687.24x = 6,210,458,961.66
  5. Step 5: Solve for x
    x = 6,210,458,961.66/102,687.24
  6. Step 6: Final answer
    x = 60,479.36

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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.