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Finding the Fourth Proportional to 152,101.38, 209,894.61 and 87,568.47

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Solution

The fourth proportional to 152,101.38, 209,894.61 and 87,568.47 is: 120,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,101.38 : 209,894.61 = 87,568.47 : x
  2. Step 2: Convert to fraction form
    152,101.38/209,894.61 = 87,568.47/x
  3. Step 3: Cross multiply
    152,101.38x = 209,894.61 × 87,568.47
  4. Step 4: Simplify right side
    152,101.38x = 18,380,150,383.68
  5. Step 5: Solve for x
    x = 18,380,150,383.68/152,101.38
  6. Step 6: Final answer
    x = 120,841.45

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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.