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Finding the Fourth Proportional to 185,558.76, 256,069.98 and 100,674

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Solution

The fourth proportional to 185,558.76, 256,069.98 and 100,674 is: 138,929.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,558.76 : 256,069.98 = 100,674 : x
  2. Step 2: Convert to fraction form
    185,558.76/256,069.98 = 100,674/x
  3. Step 3: Cross multiply
    185,558.76x = 256,069.98 × 100,674
  4. Step 4: Simplify right side
    185,558.76x = 25,779,589,166.52
  5. Step 5: Solve for x
    x = 25,779,589,166.52/185,558.76
  6. Step 6: Final answer
    x = 138,929.52

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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.