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Finding the Fourth Proportional to 265,761.72, 398,522.52 and 76,178.70

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Solution

The fourth proportional to 265,761.72, 398,522.52 and 76,178.70 is: 114,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,761.72 : 398,522.52 = 76,178.70 : x
  2. Step 2: Convert to fraction form
    265,761.72/398,522.52 = 76,178.70/x
  3. Step 3: Cross multiply
    265,761.72x = 398,522.52 × 76,178.70
  4. Step 4: Simplify right side
    265,761.72x = 30,358,927,494.32
  5. Step 5: Solve for x
    x = 30,358,927,494.32/265,761.72
  6. Step 6: Final answer
    x = 114,233.64

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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.