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Finding the Fourth Proportional to 109,807.80, 164,711.70 and 43,250.10

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Solution

The fourth proportional to 109,807.80, 164,711.70 and 43,250.10 is: 64,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,807.80 : 164,711.70 = 43,250.10 : x
  2. Step 2: Convert to fraction form
    109,807.80/164,711.70 = 43,250.10/x
  3. Step 3: Cross multiply
    109,807.80x = 164,711.70 × 43,250.10
  4. Step 4: Simplify right side
    109,807.80x = 7,123,797,496.17
  5. Step 5: Solve for x
    x = 7,123,797,496.17/109,807.80
  6. Step 6: Final answer
    x = 64,875.15

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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.