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Finding the Fourth Proportional to 100,097.95, 138,144.60 and 59,810.87

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Solution

The fourth proportional to 100,097.95, 138,144.60 and 59,810.87 is: 82,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,097.95 : 138,144.60 = 59,810.87 : x
  2. Step 2: Convert to fraction form
    100,097.95/138,144.60 = 59,810.87/x
  3. Step 3: Cross multiply
    100,097.95x = 138,144.60 × 59,810.87
  4. Step 4: Simplify right side
    100,097.95x = 8,262,548,711.80
  5. Step 5: Solve for x
    x = 8,262,548,711.80/100,097.95
  6. Step 6: Final answer
    x = 82,544.63

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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.