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Finding the Fourth Proportional to 82,499.40, 123,530.40 and 65,003.40

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Solution

The fourth proportional to 82,499.40, 123,530.40 and 65,003.40 is: 97,332.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,499.40 : 123,530.40 = 65,003.40 : x
  2. Step 2: Convert to fraction form
    82,499.40/123,530.40 = 65,003.40/x
  3. Step 3: Cross multiply
    82,499.40x = 123,530.40 × 65,003.40
  4. Step 4: Simplify right side
    82,499.40x = 8,029,896,003.36
  5. Step 5: Solve for x
    x = 8,029,896,003.36/82,499.40
  6. Step 6: Final answer
    x = 97,332.78

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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.