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Finding the Fourth Proportional to 185,715, 256,279.80 and 100,830.24

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Solution

The fourth proportional to 185,715, 256,279.80 and 100,830.24 is: 139,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,715 : 256,279.80 = 100,830.24 : x
  2. Step 2: Convert to fraction form
    185,715/256,279.80 = 100,830.24/x
  3. Step 3: Cross multiply
    185,715x = 256,279.80 × 100,830.24
  4. Step 4: Simplify right side
    185,715x = 25,840,753,741.15
  5. Step 5: Solve for x
    x = 25,840,753,741.15/185,715
  6. Step 6: Final answer
    x = 139,141.98

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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.