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Finding the Fourth Proportional to 90,855.64, 136,296.42 and 28,531

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Solution

The fourth proportional to 90,855.64, 136,296.42 and 28,531 is: 42,800.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,855.64 : 136,296.42 = 28,531 : x
  2. Step 2: Convert to fraction form
    90,855.64/136,296.42 = 28,531/x
  3. Step 3: Cross multiply
    90,855.64x = 136,296.42 × 28,531
  4. Step 4: Simplify right side
    90,855.64x = 3,888,673,159.02
  5. Step 5: Solve for x
    x = 3,888,673,159.02/90,855.64
  6. Step 6: Final answer
    x = 42,800.57

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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.