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Finding the Fourth Proportional to 86,274.64, 129,417.54 and 27,112.78

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Solution

The fourth proportional to 86,274.64, 129,417.54 and 27,112.78 is: 40,670.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,274.64 : 129,417.54 = 27,112.78 : x
  2. Step 2: Convert to fraction form
    86,274.64/129,417.54 = 27,112.78/x
  3. Step 3: Cross multiply
    86,274.64x = 129,417.54 × 27,112.78
  4. Step 4: Simplify right side
    86,274.64x = 3,508,869,290.16
  5. Step 5: Solve for x
    x = 3,508,869,290.16/86,274.64
  6. Step 6: Final answer
    x = 40,670.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.