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Finding the Fourth Proportional to 86,135.44, 129,222.66 and 29,978.20

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Solution

The fourth proportional to 86,135.44, 129,222.66 and 29,978.20 is: 44,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,135.44 : 129,222.66 = 29,978.20 : x
  2. Step 2: Convert to fraction form
    86,135.44/129,222.66 = 29,978.20/x
  3. Step 3: Cross multiply
    86,135.44x = 129,222.66 × 29,978.20
  4. Step 4: Simplify right side
    86,135.44x = 3,873,862,746.01
  5. Step 5: Solve for x
    x = 3,873,862,746.01/86,135.44
  6. Step 6: Final answer
    x = 44,974.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.