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Finding the Fourth Proportional to 119,218.84, 178,827.55 and 30,472.20

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Solution

The fourth proportional to 119,218.84, 178,827.55 and 30,472.20 is: 45,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,218.84 : 178,827.55 = 30,472.20 : x
  2. Step 2: Convert to fraction form
    119,218.84/178,827.55 = 30,472.20/x
  3. Step 3: Cross multiply
    119,218.84x = 178,827.55 × 30,472.20
  4. Step 4: Simplify right side
    119,218.84x = 5,449,268,792.93
  5. Step 5: Solve for x
    x = 5,449,268,792.93/119,218.84
  6. Step 6: Final answer
    x = 45,708.12

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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.