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Finding the Fourth Proportional to 100,062.53, 138,072.76 and 57,047.57

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Solution

The fourth proportional to 100,062.53, 138,072.76 and 57,047.57 is: 78,717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062.53 : 138,072.76 = 57,047.57 : x
  2. Step 2: Convert to fraction form
    100,062.53/138,072.76 = 57,047.57/x
  3. Step 3: Cross multiply
    100,062.53x = 138,072.76 × 57,047.57
  4. Step 4: Simplify right side
    100,062.53x = 7,876,715,441.19
  5. Step 5: Solve for x
    x = 7,876,715,441.19/100,062.53
  6. Step 6: Final answer
    x = 78,717.93

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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.