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Finding the Fourth Proportional to 205,601.52, 308,252.76 and 138,876.24

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Solution

The fourth proportional to 205,601.52, 308,252.76 and 138,876.24 is: 208,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,601.52 : 308,252.76 = 138,876.24 : x
  2. Step 2: Convert to fraction form
    205,601.52/308,252.76 = 138,876.24/x
  3. Step 3: Cross multiply
    205,601.52x = 308,252.76 × 138,876.24
  4. Step 4: Simplify right side
    205,601.52x = 42,808,984,278.42
  5. Step 5: Solve for x
    x = 42,808,984,278.42/205,601.52
  6. Step 6: Final answer
    x = 208,213.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.