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Finding the Fourth Proportional to 40,820, 61,229.76 and 13,118.08

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Solution

The fourth proportional to 40,820, 61,229.76 and 13,118.08 is: 19,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,820 : 61,229.76 = 13,118.08 : x
  2. Step 2: Convert to fraction form
    40,820/61,229.76 = 13,118.08/x
  3. Step 3: Cross multiply
    40,820x = 61,229.76 × 13,118.08
  4. Step 4: Simplify right side
    40,820x = 803,216,890.06
  5. Step 5: Solve for x
    x = 803,216,890.06/40,820
  6. Step 6: Final answer
    x = 19,677.04

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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.