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Finding the Fourth Proportional to 112,725, 169,113.42 and 38,853

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Solution

The fourth proportional to 112,725, 169,113.42 and 38,853 is: 58,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,725 : 169,113.42 = 38,853 : x
  2. Step 2: Convert to fraction form
    112,725/169,113.42 = 38,853/x
  3. Step 3: Cross multiply
    112,725x = 169,113.42 × 38,853
  4. Step 4: Simplify right side
    112,725x = 6,570,563,707.26
  5. Step 5: Solve for x
    x = 6,570,563,707.26/112,725
  6. Step 6: Final answer
    x = 58,288.43

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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.