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Finding the Fourth Proportional to 185,860, 256,477.20 and 100,974.88

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Solution

The fourth proportional to 185,860, 256,477.20 and 100,974.88 is: 139,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,860 : 256,477.20 = 100,974.88 : x
  2. Step 2: Convert to fraction form
    185,860/256,477.20 = 100,974.88/x
  3. Step 3: Cross multiply
    185,860x = 256,477.20 × 100,974.88
  4. Step 4: Simplify right side
    185,860x = 25,897,754,492.74
  5. Step 5: Solve for x
    x = 25,897,754,492.74/185,860
  6. Step 6: Final answer
    x = 139,340.12

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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.