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Finding the Fourth Proportional to 109,803.80, 164,705.70 and 99,306.20

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Solution

The fourth proportional to 109,803.80, 164,705.70 and 99,306.20 is: 148,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,803.80 : 164,705.70 = 99,306.20 : x
  2. Step 2: Convert to fraction form
    109,803.80/164,705.70 = 99,306.20/x
  3. Step 3: Cross multiply
    109,803.80x = 164,705.70 × 99,306.20
  4. Step 4: Simplify right side
    109,803.80x = 16,356,297,185.34
  5. Step 5: Solve for x
    x = 16,356,297,185.34/109,803.80
  6. Step 6: Final answer
    x = 148,959.30

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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.