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Finding the Fourth Proportional to 318,081.90, 477,122.55 and 81,424.20

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Solution

The fourth proportional to 318,081.90, 477,122.55 and 81,424.20 is: 122,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,081.90 : 477,122.55 = 81,424.20 : x
  2. Step 2: Convert to fraction form
    318,081.90/477,122.55 = 81,424.20/x
  3. Step 3: Cross multiply
    318,081.90x = 477,122.55 × 81,424.20
  4. Step 4: Simplify right side
    318,081.90x = 38,849,321,935.71
  5. Step 5: Solve for x
    x = 38,849,321,935.71/318,081.90
  6. Step 6: Final answer
    x = 122,136.22

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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.