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Finding the Fourth Proportional to 189,901.90, 284,674.65 and 71,652.70

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Solution

The fourth proportional to 189,901.90, 284,674.65 and 71,652.70 is: 107,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,901.90 : 284,674.65 = 71,652.70 : x
  2. Step 2: Convert to fraction form
    189,901.90/284,674.65 = 71,652.70/x
  3. Step 3: Cross multiply
    189,901.90x = 284,674.65 × 71,652.70
  4. Step 4: Simplify right side
    189,901.90x = 20,397,707,294.06
  5. Step 5: Solve for x
    x = 20,397,707,294.06/189,901.90
  6. Step 6: Final answer
    x = 107,411.81

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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.