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Finding the Fourth Proportional to 124,613.32, 186,848.16 and 85,218.16

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Solution

The fourth proportional to 124,613.32, 186,848.16 and 85,218.16 is: 127,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,613.32 : 186,848.16 = 85,218.16 : x
  2. Step 2: Convert to fraction form
    124,613.32/186,848.16 = 85,218.16/x
  3. Step 3: Cross multiply
    124,613.32x = 186,848.16 × 85,218.16
  4. Step 4: Simplify right side
    124,613.32x = 15,922,856,394.59
  5. Step 5: Solve for x
    x = 15,922,856,394.59/124,613.32
  6. Step 6: Final answer
    x = 127,778.13

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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.