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Finding the Fourth Proportional to 154,546.48, 213,259.80 and 87,478.48

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Solution

The fourth proportional to 154,546.48, 213,259.80 and 87,478.48 is: 120,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,546.48 : 213,259.80 = 87,478.48 : x
  2. Step 2: Convert to fraction form
    154,546.48/213,259.80 = 87,478.48/x
  3. Step 3: Cross multiply
    154,546.48x = 213,259.80 × 87,478.48
  4. Step 4: Simplify right side
    154,546.48x = 18,655,643,149.10
  5. Step 5: Solve for x
    x = 18,655,643,149.10/154,546.48
  6. Step 6: Final answer
    x = 120,712.18

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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.