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Finding the Fourth Proportional to 185,298.68, 255,712.17 and 100,415.74

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Solution

The fourth proportional to 185,298.68, 255,712.17 and 100,415.74 is: 138,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,298.68 : 255,712.17 = 100,415.74 : x
  2. Step 2: Convert to fraction form
    185,298.68/255,712.17 = 100,415.74/x
  3. Step 3: Cross multiply
    185,298.68x = 255,712.17 × 100,415.74
  4. Step 4: Simplify right side
    185,298.68x = 25,677,526,777.56
  5. Step 5: Solve for x
    x = 25,677,526,777.56/185,298.68
  6. Step 6: Final answer
    x = 138,573.72

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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.