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Finding the Fourth Proportional to 119,082.64, 178,391.76 and 66,333.28

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Solution

The fourth proportional to 119,082.64, 178,391.76 and 66,333.28 is: 99,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,082.64 : 178,391.76 = 66,333.28 : x
  2. Step 2: Convert to fraction form
    119,082.64/178,391.76 = 66,333.28/x
  3. Step 3: Cross multiply
    119,082.64x = 178,391.76 × 66,333.28
  4. Step 4: Simplify right side
    119,082.64x = 11,833,310,565.77
  5. Step 5: Solve for x
    x = 11,833,310,565.77/119,082.64
  6. Step 6: Final answer
    x = 99,370.58

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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.