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Finding the Fourth Proportional to 191,808.30, 288,014.85 and 112,982.70

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Solution

The fourth proportional to 191,808.30, 288,014.85 and 112,982.70 is: 169,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,808.30 : 288,014.85 = 112,982.70 : x
  2. Step 2: Convert to fraction form
    191,808.30/288,014.85 = 112,982.70/x
  3. Step 3: Cross multiply
    191,808.30x = 288,014.85 × 112,982.70
  4. Step 4: Simplify right side
    191,808.30x = 32,540,695,393.10
  5. Step 5: Solve for x
    x = 32,540,695,393.10/191,808.30
  6. Step 6: Final answer
    x = 169,652.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.