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Finding the Fourth Proportional to 90,135.57, 135,006.30 and 45,686.01

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Solution

The fourth proportional to 90,135.57, 135,006.30 and 45,686.01 is: 68,429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,135.57 : 135,006.30 = 45,686.01 : x
  2. Step 2: Convert to fraction form
    90,135.57/135,006.30 = 45,686.01/x
  3. Step 3: Cross multiply
    90,135.57x = 135,006.30 × 45,686.01
  4. Step 4: Simplify right side
    90,135.57x = 6,167,899,171.86
  5. Step 5: Solve for x
    x = 6,167,899,171.86/90,135.57
  6. Step 6: Final answer
    x = 68,429.14

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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.