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Finding the Fourth Proportional to 265,874.40, 398,674.80 and 78,861.60

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Solution

The fourth proportional to 265,874.40, 398,674.80 and 78,861.60 is: 118,251.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,874.40 : 398,674.80 = 78,861.60 : x
  2. Step 2: Convert to fraction form
    265,874.40/398,674.80 = 78,861.60/x
  3. Step 3: Cross multiply
    265,874.40x = 398,674.80 × 78,861.60
  4. Step 4: Simplify right side
    265,874.40x = 31,440,132,607.68
  5. Step 5: Solve for x
    x = 31,440,132,607.68/265,874.40
  6. Step 6: Final answer
    x = 118,251.82

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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.