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Finding the Fourth Proportional to 265,585.64, 398,422.57 and 105,663.08

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Solution

The fourth proportional to 265,585.64, 398,422.57 and 105,663.08 is: 158,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,585.64 : 398,422.57 = 105,663.08 : x
  2. Step 2: Convert to fraction form
    265,585.64/398,422.57 = 105,663.08/x
  3. Step 3: Cross multiply
    265,585.64x = 398,422.57 × 105,663.08
  4. Step 4: Simplify right side
    265,585.64x = 42,098,557,114.91
  5. Step 5: Solve for x
    x = 42,098,557,114.91/265,585.64
  6. Step 6: Final answer
    x = 158,512.18

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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.