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Finding the Fourth Proportional to 90,140.58, 135,013.80 and 45,691.02

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Solution

The fourth proportional to 90,140.58, 135,013.80 and 45,691.02 is: 68,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,140.58 : 135,013.80 = 45,691.02 : x
  2. Step 2: Convert to fraction form
    90,140.58/135,013.80 = 45,691.02/x
  3. Step 3: Cross multiply
    90,140.58x = 135,013.80 × 45,691.02
  4. Step 4: Simplify right side
    90,140.58x = 6,168,918,236.08
  5. Step 5: Solve for x
    x = 6,168,918,236.08/90,140.58
  6. Step 6: Final answer
    x = 68,436.64

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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.