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Finding the Fourth Proportional to 83,415.70, 125,123.51 and 33,495.78

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Solution

The fourth proportional to 83,415.70, 125,123.51 and 33,495.78 is: 50,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.70 : 125,123.51 = 33,495.78 : x
  2. Step 2: Convert to fraction form
    83,415.70/125,123.51 = 33,495.78/x
  3. Step 3: Cross multiply
    83,415.70x = 125,123.51 × 33,495.78
  4. Step 4: Simplify right side
    83,415.70x = 4,191,110,116.74
  5. Step 5: Solve for x
    x = 4,191,110,116.74/83,415.70
  6. Step 6: Final answer
    x = 50,243.66

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1.5x scale

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.