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Finding the Fourth Proportional to 203,298.09, 280,543.31 and 112,657.89

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Solution

The fourth proportional to 203,298.09, 280,543.31 and 112,657.89 is: 155,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,298.09 : 280,543.31 = 112,657.89 : x
  2. Step 2: Convert to fraction form
    203,298.09/280,543.31 = 112,657.89/x
  3. Step 3: Cross multiply
    203,298.09x = 280,543.31 × 112,657.89
  4. Step 4: Simplify right side
    203,298.09x = 31,605,416,794.93
  5. Step 5: Solve for x
    x = 31,605,416,794.93/203,298.09
  6. Step 6: Final answer
    x = 155,463.42

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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.