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Finding the Fourth Proportional to 159,711.51, 220,199.52 and 105,255.21

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Solution

The fourth proportional to 159,711.51, 220,199.52 and 105,255.21 is: 145,118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,711.51 : 220,199.52 = 105,255.21 : x
  2. Step 2: Convert to fraction form
    159,711.51/220,199.52 = 105,255.21/x
  3. Step 3: Cross multiply
    159,711.51x = 220,199.52 × 105,255.21
  4. Step 4: Simplify right side
    159,711.51x = 23,177,146,719.50
  5. Step 5: Solve for x
    x = 23,177,146,719.50/159,711.51
  6. Step 6: Final answer
    x = 145,118.83

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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.