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Finding the Fourth Proportional to 178,253.92, 246,066.30 and 120,123.40

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Solution

The fourth proportional to 178,253.92, 246,066.30 and 120,123.40 is: 165,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,253.92 : 246,066.30 = 120,123.40 : x
  2. Step 2: Convert to fraction form
    178,253.92/246,066.30 = 120,123.40/x
  3. Step 3: Cross multiply
    178,253.92x = 246,066.30 × 120,123.40
  4. Step 4: Simplify right side
    178,253.92x = 29,558,320,581.42
  5. Step 5: Solve for x
    x = 29,558,320,581.42/178,253.92
  6. Step 6: Final answer
    x = 165,821.43

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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.