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Finding the Fourth Proportional to 100,371.84, 138,503.16 and 57,944.04

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Solution

The fourth proportional to 100,371.84, 138,503.16 and 57,944.04 is: 79,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,371.84 : 138,503.16 = 57,944.04 : x
  2. Step 2: Convert to fraction form
    100,371.84/138,503.16 = 57,944.04/x
  3. Step 3: Cross multiply
    100,371.84x = 138,503.16 × 57,944.04
  4. Step 4: Simplify right side
    100,371.84x = 8,025,432,643.17
  5. Step 5: Solve for x
    x = 8,025,432,643.17/100,371.84
  6. Step 6: Final answer
    x = 79,957.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.