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Finding the Fourth Proportional to 265,981.60, 398,639.64 and 132,899.20

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Solution

The fourth proportional to 265,981.60, 398,639.64 and 132,899.20 is: 199,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,981.60 : 398,639.64 = 132,899.20 : x
  2. Step 2: Convert to fraction form
    265,981.60/398,639.64 = 132,899.20/x
  3. Step 3: Cross multiply
    265,981.60x = 398,639.64 × 132,899.20
  4. Step 4: Simplify right side
    265,981.60x = 52,978,889,244.29
  5. Step 5: Solve for x
    x = 52,978,889,244.29/265,981.60
  6. Step 6: Final answer
    x = 199,182.53

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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.