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Finding the Fourth Proportional to 90,429.90, 124,764.86 and 52,184.43

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Solution

The fourth proportional to 90,429.90, 124,764.86 and 52,184.43 is: 71,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,429.90 : 124,764.86 = 52,184.43 : x
  2. Step 2: Convert to fraction form
    90,429.90/124,764.86 = 52,184.43/x
  3. Step 3: Cross multiply
    90,429.90x = 124,764.86 × 52,184.43
  4. Step 4: Simplify right side
    90,429.90x = 6,510,782,842.21
  5. Step 5: Solve for x
    x = 6,510,782,842.21/90,429.90
  6. Step 6: Final answer
    x = 71,998.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.