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Finding the Fourth Proportional to 138,025.56, 190,482.12 and 84,301.88

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Solution

The fourth proportional to 138,025.56, 190,482.12 and 84,301.88 is: 116,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,025.56 : 190,482.12 = 84,301.88 : x
  2. Step 2: Convert to fraction form
    138,025.56/190,482.12 = 84,301.88/x
  3. Step 3: Cross multiply
    138,025.56x = 190,482.12 × 84,301.88
  4. Step 4: Simplify right side
    138,025.56x = 16,058,000,822.39
  5. Step 5: Solve for x
    x = 16,058,000,822.39/138,025.56
  6. Step 6: Final answer
    x = 116,340.78

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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.