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Finding the Fourth Proportional to 90,503.68, 135,723.12 and 31,323.48

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Solution

The fourth proportional to 90,503.68, 135,723.12 and 31,323.48 is: 46,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,503.68 : 135,723.12 = 31,323.48 : x
  2. Step 2: Convert to fraction form
    90,503.68/135,723.12 = 31,323.48/x
  3. Step 3: Cross multiply
    90,503.68x = 135,723.12 × 31,323.48
  4. Step 4: Simplify right side
    90,503.68x = 4,251,320,434.86
  5. Step 5: Solve for x
    x = 4,251,320,434.86/90,503.68
  6. Step 6: Final answer
    x = 46,974.01

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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.