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Finding the Fourth Proportional to 45,205.20, 67,807.80 and 36,457.20

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Solution

The fourth proportional to 45,205.20, 67,807.80 and 36,457.20 is: 54,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,205.20 : 67,807.80 = 36,457.20 : x
  2. Step 2: Convert to fraction form
    45,205.20/67,807.80 = 36,457.20/x
  3. Step 3: Cross multiply
    45,205.20x = 67,807.80 × 36,457.20
  4. Step 4: Simplify right side
    45,205.20x = 2,472,082,526.16
  5. Step 5: Solve for x
    x = 2,472,082,526.16/45,205.20
  6. Step 6: Final answer
    x = 54,685.80

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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.