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Finding the Fourth Proportional to 82,954.40, 124,343.58 and 40,775

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Solution

The fourth proportional to 82,954.40, 124,343.58 and 40,775 is: 61,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,954.40 : 124,343.58 = 40,775 : x
  2. Step 2: Convert to fraction form
    82,954.40/124,343.58 = 40,775/x
  3. Step 3: Cross multiply
    82,954.40x = 124,343.58 × 40,775
  4. Step 4: Simplify right side
    82,954.40x = 5,070,109,474.50
  5. Step 5: Solve for x
    x = 5,070,109,474.50/82,954.40
  6. Step 6: Final answer
    x = 61,119.24

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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.