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Finding the Fourth Proportional to 82,373.04, 123,486.48 and 40,230

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Solution

The fourth proportional to 82,373.04, 123,486.48 and 40,230 is: 60,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,373.04 : 123,486.48 = 40,230 : x
  2. Step 2: Convert to fraction form
    82,373.04/123,486.48 = 40,230/x
  3. Step 3: Cross multiply
    82,373.04x = 123,486.48 × 40,230
  4. Step 4: Simplify right side
    82,373.04x = 4,967,861,090.40
  5. Step 5: Solve for x
    x = 4,967,861,090.40/82,373.04
  6. Step 6: Final answer
    x = 60,309.31

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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.