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Finding the Fourth Proportional to 90,639.50, 135,924.54 and 29,835.50

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Solution

The fourth proportional to 90,639.50, 135,924.54 and 29,835.50 is: 44,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639.50 : 135,924.54 = 29,835.50 : x
  2. Step 2: Convert to fraction form
    90,639.50/135,924.54 = 29,835.50/x
  3. Step 3: Cross multiply
    90,639.50x = 135,924.54 × 29,835.50
  4. Step 4: Simplify right side
    90,639.50x = 4,055,376,613.17
  5. Step 5: Solve for x
    x = 4,055,376,613.17/90,639.50
  6. Step 6: Final answer
    x = 44,741.82

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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.