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Finding the Fourth Proportional to 150,859, 208,169.76 and 87,217.12

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Solution

The fourth proportional to 150,859, 208,169.76 and 87,217.12 is: 120,350.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,859 : 208,169.76 = 87,217.12 : x
  2. Step 2: Convert to fraction form
    150,859/208,169.76 = 87,217.12/x
  3. Step 3: Cross multiply
    150,859x = 208,169.76 × 87,217.12
  4. Step 4: Simplify right side
    150,859x = 18,155,966,938.29
  5. Step 5: Solve for x
    x = 18,155,966,938.29/150,859
  6. Step 6: Final answer
    x = 120,350.57

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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.