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Finding the Fourth Proportional to 100,041.29, 138,061.41 and 57,613.49

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Solution

The fourth proportional to 100,041.29, 138,061.41 and 57,613.49 is: 79,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041.29 : 138,061.41 = 57,613.49 : x
  2. Step 2: Convert to fraction form
    100,041.29/138,061.41 = 57,613.49/x
  3. Step 3: Cross multiply
    100,041.29x = 138,061.41 × 57,613.49
  4. Step 4: Simplify right side
    100,041.29x = 7,954,199,664.42
  5. Step 5: Solve for x
    x = 7,954,199,664.42/100,041.29
  6. Step 6: Final answer
    x = 79,509.17

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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.