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Finding the Fourth Proportional to 122,381.56, 183,527.49 and 42,398.87

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Solution

The fourth proportional to 122,381.56, 183,527.49 and 42,398.87 is: 63,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,381.56 : 183,527.49 = 42,398.87 : x
  2. Step 2: Convert to fraction form
    122,381.56/183,527.49 = 42,398.87/x
  3. Step 3: Cross multiply
    122,381.56x = 183,527.49 × 42,398.87
  4. Step 4: Simplify right side
    122,381.56x = 7,781,357,664.25
  5. Step 5: Solve for x
    x = 7,781,357,664.25/122,381.56
  6. Step 6: Final answer
    x = 63,582.76

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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.