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Finding the Fourth Proportional to 100,376.34, 138,513.96 and 57,932.34

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Solution

The fourth proportional to 100,376.34, 138,513.96 and 57,932.34 is: 79,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,376.34 : 138,513.96 = 57,932.34 : x
  2. Step 2: Convert to fraction form
    100,376.34/138,513.96 = 57,932.34/x
  3. Step 3: Cross multiply
    100,376.34x = 138,513.96 × 57,932.34
  4. Step 4: Simplify right side
    100,376.34x = 8,024,437,825.47
  5. Step 5: Solve for x
    x = 8,024,437,825.47/100,376.34
  6. Step 6: Final answer
    x = 79,943.52

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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.