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Finding the Fourth Proportional to 203,461.80, 280,780.65 and 112,821.59

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Solution

The fourth proportional to 203,461.80, 280,780.65 and 112,821.59 is: 155,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,461.80 : 280,780.65 = 112,821.59 : x
  2. Step 2: Convert to fraction form
    203,461.80/280,780.65 = 112,821.59/x
  3. Step 3: Cross multiply
    203,461.80x = 280,780.65 × 112,821.59
  4. Step 4: Simplify right side
    203,461.80x = 31,678,117,970.33
  5. Step 5: Solve for x
    x = 31,678,117,970.33/203,461.80
  6. Step 6: Final answer
    x = 155,695.65

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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.