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Finding the Fourth Proportional to 100,528.53, 138,731.70 and 57,512.06

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Solution

The fourth proportional to 100,528.53, 138,731.70 and 57,512.06 is: 79,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,528.53 : 138,731.70 = 57,512.06 : x
  2. Step 2: Convert to fraction form
    100,528.53/138,731.70 = 57,512.06/x
  3. Step 3: Cross multiply
    100,528.53x = 138,731.70 × 57,512.06
  4. Step 4: Simplify right side
    100,528.53x = 7,978,745,566.74
  5. Step 5: Solve for x
    x = 7,978,745,566.74/100,528.53
  6. Step 6: Final answer
    x = 79,367.97

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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.