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Finding the Fourth Proportional to 203,484.76, 280,823.35 and 112,849.40

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Solution

The fourth proportional to 203,484.76, 280,823.35 and 112,849.40 is: 155,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,484.76 : 280,823.35 = 112,849.40 : x
  2. Step 2: Convert to fraction form
    203,484.76/280,823.35 = 112,849.40/x
  3. Step 3: Cross multiply
    203,484.76x = 280,823.35 × 112,849.40
  4. Step 4: Simplify right side
    203,484.76x = 31,690,746,553.49
  5. Step 5: Solve for x
    x = 31,690,746,553.49/203,484.76
  6. Step 6: Final answer
    x = 155,740.15

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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.