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Finding the Fourth Proportional to 100,329.76, 138,456.21 and 57,314.98

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Solution

The fourth proportional to 100,329.76, 138,456.21 and 57,314.98 is: 79,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,329.76 : 138,456.21 = 57,314.98 : x
  2. Step 2: Convert to fraction form
    100,329.76/138,456.21 = 57,314.98/x
  3. Step 3: Cross multiply
    100,329.76x = 138,456.21 × 57,314.98
  4. Step 4: Simplify right side
    100,329.76x = 7,935,614,907.03
  5. Step 5: Solve for x
    x = 7,935,614,907.03/100,329.76
  6. Step 6: Final answer
    x = 79,095.32

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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.