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Finding the Fourth Proportional to 43,547.80, 65,306.31 and 20,748.87

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Solution

The fourth proportional to 43,547.80, 65,306.31 and 20,748.87 is: 31,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,547.80 : 65,306.31 = 20,748.87 : x
  2. Step 2: Convert to fraction form
    43,547.80/65,306.31 = 20,748.87/x
  3. Step 3: Cross multiply
    43,547.80x = 65,306.31 × 20,748.87
  4. Step 4: Simplify right side
    43,547.80x = 1,355,032,136.37
  5. Step 5: Solve for x
    x = 1,355,032,136.37/43,547.80
  6. Step 6: Final answer
    x = 31,115.97

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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.