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Finding the Fourth Proportional to 152,006.49, 209,789.81 and 87,474.39

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Solution

The fourth proportional to 152,006.49, 209,789.81 and 87,474.39 is: 120,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,006.49 : 209,789.81 = 87,474.39 : x
  2. Step 2: Convert to fraction form
    152,006.49/209,789.81 = 87,474.39/x
  3. Step 3: Cross multiply
    152,006.49x = 209,789.81 × 87,474.39
  4. Step 4: Simplify right side
    152,006.49x = 18,351,235,220.59
  5. Step 5: Solve for x
    x = 18,351,235,220.59/152,006.49
  6. Step 6: Final answer
    x = 120,726.66

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1.5x scale

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.