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Finding the Fourth Proportional to 90,618.52, 135,893.14 and 29,814.64

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Solution

The fourth proportional to 90,618.52, 135,893.14 and 29,814.64 is: 44,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,618.52 : 135,893.14 = 29,814.64 : x
  2. Step 2: Convert to fraction form
    90,618.52/135,893.14 = 29,814.64/x
  3. Step 3: Cross multiply
    90,618.52x = 135,893.14 × 29,814.64
  4. Step 4: Simplify right side
    90,618.52x = 4,051,605,047.57
  5. Step 5: Solve for x
    x = 4,051,605,047.57/90,618.52
  6. Step 6: Final answer
    x = 44,710.56

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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.