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Finding the Fourth Proportional to 89,985.75, 134,979.30 and 30,822

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Solution

The fourth proportional to 89,985.75, 134,979.30 and 30,822 is: 46,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,985.75 : 134,979.30 = 30,822 : x
  2. Step 2: Convert to fraction form
    89,985.75/134,979.30 = 30,822/x
  3. Step 3: Cross multiply
    89,985.75x = 134,979.30 × 30,822
  4. Step 4: Simplify right side
    89,985.75x = 4,160,331,984.60
  5. Step 5: Solve for x
    x = 4,160,331,984.60/89,985.75
  6. Step 6: Final answer
    x = 46,233.23

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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.