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Finding the Fourth Proportional to 86,426.80, 129,646.86 and 33,144.30

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Solution

The fourth proportional to 86,426.80, 129,646.86 and 33,144.30 is: 49,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,426.80 : 129,646.86 = 33,144.30 : x
  2. Step 2: Convert to fraction form
    86,426.80/129,646.86 = 33,144.30/x
  3. Step 3: Cross multiply
    86,426.80x = 129,646.86 × 33,144.30
  4. Step 4: Simplify right side
    86,426.80x = 4,297,054,421.90
  5. Step 5: Solve for x
    x = 4,297,054,421.90/86,426.80
  6. Step 6: Final answer
    x = 49,719.00

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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.