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Finding the Fourth Proportional to 268,125.96, 402,240.78 and 101,901

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Solution

The fourth proportional to 268,125.96, 402,240.78 and 101,901 is: 152,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,125.96 : 402,240.78 = 101,901 : x
  2. Step 2: Convert to fraction form
    268,125.96/402,240.78 = 101,901/x
  3. Step 3: Cross multiply
    268,125.96x = 402,240.78 × 101,901
  4. Step 4: Simplify right side
    268,125.96x = 40,988,737,722.78
  5. Step 5: Solve for x
    x = 40,988,737,722.78/268,125.96
  6. Step 6: Final answer
    x = 152,871.20

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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.