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Finding the Fourth Proportional to 119,229.31, 178,995.72 and 77,284.91

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Solution

The fourth proportional to 119,229.31, 178,995.72 and 77,284.91 is: 116,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,229.31 : 178,995.72 = 77,284.91 : x
  2. Step 2: Convert to fraction form
    119,229.31/178,995.72 = 77,284.91/x
  3. Step 3: Cross multiply
    119,229.31x = 178,995.72 × 77,284.91
  4. Step 4: Simplify right side
    119,229.31x = 13,833,668,847.89
  5. Step 5: Solve for x
    x = 13,833,668,847.89/119,229.31
  6. Step 6: Final answer
    x = 116,025.74

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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.