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Finding the Fourth Proportional to 100,542.16, 138,748.44 and 55,830.16

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Solution

The fourth proportional to 100,542.16, 138,748.44 and 55,830.16 is: 77,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.16 : 138,748.44 = 55,830.16 : x
  2. Step 2: Convert to fraction form
    100,542.16/138,748.44 = 55,830.16/x
  3. Step 3: Cross multiply
    100,542.16x = 138,748.44 × 55,830.16
  4. Step 4: Simplify right side
    100,542.16x = 7,746,347,604.95
  5. Step 5: Solve for x
    x = 7,746,347,604.95/100,542.16
  6. Step 6: Final answer
    x = 77,045.76

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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.