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Finding the Fourth Proportional to 152,471.20, 210,414.86 and 84,481.80

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Solution

The fourth proportional to 152,471.20, 210,414.86 and 84,481.80 is: 116,587.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,471.20 : 210,414.86 = 84,481.80 : x
  2. Step 2: Convert to fraction form
    152,471.20/210,414.86 = 84,481.80/x
  3. Step 3: Cross multiply
    152,471.20x = 210,414.86 × 84,481.80
  4. Step 4: Simplify right side
    152,471.20x = 17,776,226,119.55
  5. Step 5: Solve for x
    x = 17,776,226,119.55/152,471.20
  6. Step 6: Final answer
    x = 116,587.44

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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.