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Finding the Fourth Proportional to 162,803.30, 243,876.90 and 109,659.20

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Solution

The fourth proportional to 162,803.30, 243,876.90 and 109,659.20 is: 164,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,803.30 : 243,876.90 = 109,659.20 : x
  2. Step 2: Convert to fraction form
    162,803.30/243,876.90 = 109,659.20/x
  3. Step 3: Cross multiply
    162,803.30x = 243,876.90 × 109,659.20
  4. Step 4: Simplify right side
    162,803.30x = 26,743,345,752.48
  5. Step 5: Solve for x
    x = 26,743,345,752.48/162,803.30
  6. Step 6: Final answer
    x = 164,267.84

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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.