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Finding the Fourth Proportional to 121,878.48, 182,792.12 and 34,306

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Solution

The fourth proportional to 121,878.48, 182,792.12 and 34,306 is: 51,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,878.48 : 182,792.12 = 34,306 : x
  2. Step 2: Convert to fraction form
    121,878.48/182,792.12 = 34,306/x
  3. Step 3: Cross multiply
    121,878.48x = 182,792.12 × 34,306
  4. Step 4: Simplify right side
    121,878.48x = 6,270,866,468.72
  5. Step 5: Solve for x
    x = 6,270,866,468.72/121,878.48
  6. Step 6: Final answer
    x = 51,451.79

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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.