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Finding the Fourth Proportional to 90,041.46, 123,898.63 and 87,302.22

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Solution

The fourth proportional to 90,041.46, 123,898.63 and 87,302.22 is: 120,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,041.46 : 123,898.63 = 87,302.22 : x
  2. Step 2: Convert to fraction form
    90,041.46/123,898.63 = 87,302.22/x
  3. Step 3: Cross multiply
    90,041.46x = 123,898.63 × 87,302.22
  4. Step 4: Simplify right side
    90,041.46x = 10,816,625,453.96
  5. Step 5: Solve for x
    x = 10,816,625,453.96/90,041.46
  6. Step 6: Final answer
    x = 120,129.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.