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Finding the Fourth Proportional to 268,127.96, 402,243.78 and 101,903

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Solution

The fourth proportional to 268,127.96, 402,243.78 and 101,903 is: 152,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,127.96 : 402,243.78 = 101,903 : x
  2. Step 2: Convert to fraction form
    268,127.96/402,243.78 = 101,903/x
  3. Step 3: Cross multiply
    268,127.96x = 402,243.78 × 101,903
  4. Step 4: Simplify right side
    268,127.96x = 40,989,847,913.34
  5. Step 5: Solve for x
    x = 40,989,847,913.34/268,127.96
  6. Step 6: Final answer
    x = 152,874.20

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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.