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Finding the Fourth Proportional to 99,889.30, 137,851.43 and 57,447.87

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Solution

The fourth proportional to 99,889.30, 137,851.43 and 57,447.87 is: 79,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,889.30 : 137,851.43 = 57,447.87 : x
  2. Step 2: Convert to fraction form
    99,889.30/137,851.43 = 57,447.87/x
  3. Step 3: Cross multiply
    99,889.30x = 137,851.43 × 57,447.87
  4. Step 4: Simplify right side
    99,889.30x = 7,919,270,053.46
  5. Step 5: Solve for x
    x = 7,919,270,053.46/99,889.30
  6. Step 6: Final answer
    x = 79,280.47

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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.