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Finding the Fourth Proportional to 150,138.74, 207,266.47 and 86,464.24

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Solution

The fourth proportional to 150,138.74, 207,266.47 and 86,464.24 is: 119,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,138.74 : 207,266.47 = 86,464.24 : x
  2. Step 2: Convert to fraction form
    150,138.74/207,266.47 = 86,464.24/x
  3. Step 3: Cross multiply
    150,138.74x = 207,266.47 × 86,464.24
  4. Step 4: Simplify right side
    150,138.74x = 17,921,137,806.03
  5. Step 5: Solve for x
    x = 17,921,137,806.03/150,138.74
  6. Step 6: Final answer
    x = 119,363.85

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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.