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Finding the Fourth Proportional to 66,424.86, 99,695.78 and 34,857.48

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Solution

The fourth proportional to 66,424.86, 99,695.78 and 34,857.48 is: 52,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,424.86 : 99,695.78 = 34,857.48 : x
  2. Step 2: Convert to fraction form
    66,424.86/99,695.78 = 34,857.48/x
  3. Step 3: Cross multiply
    66,424.86x = 99,695.78 × 34,857.48
  4. Step 4: Simplify right side
    66,424.86x = 3,475,143,657.43
  5. Step 5: Solve for x
    x = 3,475,143,657.43/66,424.86
  6. Step 6: Final answer
    x = 52,316.91

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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.