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Finding the Fourth Proportional to 103,956, 156,003.12 and 38,292

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Solution

The fourth proportional to 103,956, 156,003.12 and 38,292 is: 57,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,956 : 156,003.12 = 38,292 : x
  2. Step 2: Convert to fraction form
    103,956/156,003.12 = 38,292/x
  3. Step 3: Cross multiply
    103,956x = 156,003.12 × 38,292
  4. Step 4: Simplify right side
    103,956x = 5,973,671,471.04
  5. Step 5: Solve for x
    x = 5,973,671,471.04/103,956
  6. Step 6: Final answer
    x = 57,463.46

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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.