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Finding the Fourth Proportional to 109,057.80, 163,586.70 and 102,934.20

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Solution

The fourth proportional to 109,057.80, 163,586.70 and 102,934.20 is: 154,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,057.80 : 163,586.70 = 102,934.20 : x
  2. Step 2: Convert to fraction form
    109,057.80/163,586.70 = 102,934.20/x
  3. Step 3: Cross multiply
    109,057.80x = 163,586.70 × 102,934.20
  4. Step 4: Simplify right side
    109,057.80x = 16,838,666,095.14
  5. Step 5: Solve for x
    x = 16,838,666,095.14/109,057.80
  6. Step 6: Final answer
    x = 154,401.30

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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.