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Finding the Fourth Proportional to 82,460.40, 123,544.80 and 73,129.20

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Solution

The fourth proportional to 82,460.40, 123,544.80 and 73,129.20 is: 109,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,460.40 : 123,544.80 = 73,129.20 : x
  2. Step 2: Convert to fraction form
    82,460.40/123,544.80 = 73,129.20/x
  3. Step 3: Cross multiply
    82,460.40x = 123,544.80 × 73,129.20
  4. Step 4: Simplify right side
    82,460.40x = 9,034,732,388.16
  5. Step 5: Solve for x
    x = 9,034,732,388.16/82,460.40
  6. Step 6: Final answer
    x = 109,564.50

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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.