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Finding the Fourth Proportional to 135,884.86, 187,533 and 75,467.32

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Solution

The fourth proportional to 135,884.86, 187,533 and 75,467.32 is: 104,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,884.86 : 187,533 = 75,467.32 : x
  2. Step 2: Convert to fraction form
    135,884.86/187,533 = 75,467.32/x
  3. Step 3: Cross multiply
    135,884.86x = 187,533 × 75,467.32
  4. Step 4: Simplify right side
    135,884.86x = 14,152,612,921.56
  5. Step 5: Solve for x
    x = 14,152,612,921.56/135,884.86
  6. Step 6: Final answer
    x = 104,151.51

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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.