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Finding the Fourth Proportional to 121,756.80, 182,649.78 and 51,627

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Solution

The fourth proportional to 121,756.80, 182,649.78 and 51,627 is: 77,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,756.80 : 182,649.78 = 51,627 : x
  2. Step 2: Convert to fraction form
    121,756.80/182,649.78 = 51,627/x
  3. Step 3: Cross multiply
    121,756.80x = 182,649.78 × 51,627
  4. Step 4: Simplify right side
    121,756.80x = 9,429,660,192.06
  5. Step 5: Solve for x
    x = 9,429,660,192.06/121,756.80
  6. Step 6: Final answer
    x = 77,446.68

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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.