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Finding the Fourth Proportional to 203,446.15, 280,754.30 and 112,802.15

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Solution

The fourth proportional to 203,446.15, 280,754.30 and 112,802.15 is: 155,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,446.15 : 280,754.30 = 112,802.15 : x
  2. Step 2: Convert to fraction form
    203,446.15/280,754.30 = 112,802.15/x
  3. Step 3: Cross multiply
    203,446.15x = 280,754.30 × 112,802.15
  4. Step 4: Simplify right side
    203,446.15x = 31,669,689,645.64
  5. Step 5: Solve for x
    x = 31,669,689,645.64/203,446.15
  6. Step 6: Final answer
    x = 155,666.20

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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.