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Finding the Fourth Proportional to 265,885.29, 398,905.70 and 78,901.65

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Solution

The fourth proportional to 265,885.29, 398,905.70 and 78,901.65 is: 118,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,885.29 : 398,905.70 = 78,901.65 : x
  2. Step 2: Convert to fraction form
    265,885.29/398,905.70 = 78,901.65/x
  3. Step 3: Cross multiply
    265,885.29x = 398,905.70 × 78,901.65
  4. Step 4: Simplify right side
    265,885.29x = 31,474,317,529.90
  5. Step 5: Solve for x
    x = 31,474,317,529.90/265,885.29
  6. Step 6: Final answer
    x = 118,375.55

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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.