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Finding the Fourth Proportional to 150,278.90, 207,382.91 and 85,746.44

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Solution

The fourth proportional to 150,278.90, 207,382.91 and 85,746.44 is: 118,328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,278.90 : 207,382.91 = 85,746.44 : x
  2. Step 2: Convert to fraction form
    150,278.90/207,382.91 = 85,746.44/x
  3. Step 3: Cross multiply
    150,278.90x = 207,382.91 × 85,746.44
  4. Step 4: Simplify right side
    150,278.90x = 17,782,344,783.69
  5. Step 5: Solve for x
    x = 17,782,344,783.69/150,278.90
  6. Step 6: Final answer
    x = 118,328.96

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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.