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Finding the Fourth Proportional to 160,135.50, 220,987.04 and 87,538.71

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Solution

The fourth proportional to 160,135.50, 220,987.04 and 87,538.71 is: 120,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,135.50 : 220,987.04 = 87,538.71 : x
  2. Step 2: Convert to fraction form
    160,135.50/220,987.04 = 87,538.71/x
  3. Step 3: Cross multiply
    160,135.50x = 220,987.04 × 87,538.71
  4. Step 4: Simplify right side
    160,135.50x = 19,344,919,556.27
  5. Step 5: Solve for x
    x = 19,344,919,556.27/160,135.50
  6. Step 6: Final answer
    x = 120,803.44

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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.