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Finding the Fourth Proportional to 82,713.58, 124,071.10 and 23,549.20

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Solution

The fourth proportional to 82,713.58, 124,071.10 and 23,549.20 is: 35,324.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,713.58 : 124,071.10 = 23,549.20 : x
  2. Step 2: Convert to fraction form
    82,713.58/124,071.10 = 23,549.20/x
  3. Step 3: Cross multiply
    82,713.58x = 124,071.10 × 23,549.20
  4. Step 4: Simplify right side
    82,713.58x = 2,921,775,148.12
  5. Step 5: Solve for x
    x = 2,921,775,148.12/82,713.58
  6. Step 6: Final answer
    x = 35,324.01

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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.