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Finding the Fourth Proportional to 66,415.32, 99,614.76 and 26,934.48

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Solution

The fourth proportional to 66,415.32, 99,614.76 and 26,934.48 is: 40,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,415.32 : 99,614.76 = 26,934.48 : x
  2. Step 2: Convert to fraction form
    66,415.32/99,614.76 = 26,934.48/x
  3. Step 3: Cross multiply
    66,415.32x = 99,614.76 × 26,934.48
  4. Step 4: Simplify right side
    66,415.32x = 2,683,071,760.92
  5. Step 5: Solve for x
    x = 2,683,071,760.92/66,415.32
  6. Step 6: Final answer
    x = 40,398.39

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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.