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Finding the Fourth Proportional to 100,159.78, 138,220.44 and 57,742.90

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Solution

The fourth proportional to 100,159.78, 138,220.44 and 57,742.90 is: 79,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.78 : 138,220.44 = 57,742.90 : x
  2. Step 2: Convert to fraction form
    100,159.78/138,220.44 = 57,742.90/x
  3. Step 3: Cross multiply
    100,159.78x = 138,220.44 × 57,742.90
  4. Step 4: Simplify right side
    100,159.78x = 7,981,249,044.88
  5. Step 5: Solve for x
    x = 7,981,249,044.88/100,159.78
  6. Step 6: Final answer
    x = 79,685.17

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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.