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Finding the Fourth Proportional to 185,318.84, 255,733.12 and 100,434.08

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Solution

The fourth proportional to 185,318.84, 255,733.12 and 100,434.08 is: 138,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,318.84 : 255,733.12 = 100,434.08 : x
  2. Step 2: Convert to fraction form
    185,318.84/255,733.12 = 100,434.08/x
  3. Step 3: Cross multiply
    185,318.84x = 255,733.12 × 100,434.08
  4. Step 4: Simplify right side
    185,318.84x = 25,684,320,632.73
  5. Step 5: Solve for x
    x = 25,684,320,632.73/185,318.84
  6. Step 6: Final answer
    x = 138,595.30

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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.