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Finding the Fourth Proportional to 43,206.70, 64,737.15 and 20,972.20

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Solution

The fourth proportional to 43,206.70, 64,737.15 and 20,972.20 is: 31,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206.70 : 64,737.15 = 20,972.20 : x
  2. Step 2: Convert to fraction form
    43,206.70/64,737.15 = 20,972.20/x
  3. Step 3: Cross multiply
    43,206.70x = 64,737.15 × 20,972.20
  4. Step 4: Simplify right side
    43,206.70x = 1,357,680,457.23
  5. Step 5: Solve for x
    x = 1,357,680,457.23/43,206.70
  6. Step 6: Final answer
    x = 31,422.91

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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.