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Finding the Fourth Proportional to 129,989.86, 194,855.61 and 90,463.93

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Solution

The fourth proportional to 129,989.86, 194,855.61 and 90,463.93 is: 135,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,989.86 : 194,855.61 = 90,463.93 : x
  2. Step 2: Convert to fraction form
    129,989.86/194,855.61 = 90,463.93/x
  3. Step 3: Cross multiply
    129,989.86x = 194,855.61 × 90,463.93
  4. Step 4: Simplify right side
    129,989.86x = 17,627,403,776.01
  5. Step 5: Solve for x
    x = 17,627,403,776.01/129,989.86
  6. Step 6: Final answer
    x = 135,605.99

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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.