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Finding the Fourth Proportional to 103,177.59, 142,375.18 and 57,857.48

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Solution

The fourth proportional to 103,177.59, 142,375.18 and 57,857.48 is: 79,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,177.59 : 142,375.18 = 57,857.48 : x
  2. Step 2: Convert to fraction form
    103,177.59/142,375.18 = 57,857.48/x
  3. Step 3: Cross multiply
    103,177.59x = 142,375.18 × 57,857.48
  4. Step 4: Simplify right side
    103,177.59x = 8,237,469,129.35
  5. Step 5: Solve for x
    x = 8,237,469,129.35/103,177.59
  6. Step 6: Final answer
    x = 79,837.77

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1.5x scale

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.