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Finding the Fourth Proportional to 203,411.76, 280,708.20 and 112,767.50

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Solution

The fourth proportional to 203,411.76, 280,708.20 and 112,767.50 is: 155,619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411.76 : 280,708.20 = 112,767.50 : x
  2. Step 2: Convert to fraction form
    203,411.76/280,708.20 = 112,767.50/x
  3. Step 3: Cross multiply
    203,411.76x = 280,708.20 × 112,767.50
  4. Step 4: Simplify right side
    203,411.76x = 31,654,761,943.50
  5. Step 5: Solve for x
    x = 31,654,761,943.50/203,411.76
  6. Step 6: Final answer
    x = 155,619.13

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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.