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Finding the Fourth Proportional to 121,851.78, 182,792.25 and 42,949.68

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Solution

The fourth proportional to 121,851.78, 182,792.25 and 42,949.68 is: 64,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,851.78 : 182,792.25 = 42,949.68 : x
  2. Step 2: Convert to fraction form
    121,851.78/182,792.25 = 42,949.68/x
  3. Step 3: Cross multiply
    121,851.78x = 182,792.25 × 42,949.68
  4. Step 4: Simplify right side
    121,851.78x = 7,850,868,643.98
  5. Step 5: Solve for x
    x = 7,850,868,643.98/121,851.78
  6. Step 6: Final answer
    x = 64,429.66

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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.