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Finding the Fourth Proportional to 83,065.60, 114,629.76 and 51,221.76

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Solution

The fourth proportional to 83,065.60, 114,629.76 and 51,221.76 is: 70,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.60 : 114,629.76 = 51,221.76 : x
  2. Step 2: Convert to fraction form
    83,065.60/114,629.76 = 51,221.76/x
  3. Step 3: Cross multiply
    83,065.60x = 114,629.76 × 51,221.76
  4. Step 4: Simplify right side
    83,065.60x = 5,871,538,055.58
  5. Step 5: Solve for x
    x = 5,871,538,055.58/83,065.60
  6. Step 6: Final answer
    x = 70,685.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.