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Finding the Fourth Proportional to 82,509.40, 123,764.10 and 77,260.60

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Solution

The fourth proportional to 82,509.40, 123,764.10 and 77,260.60 is: 115,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.40 : 123,764.10 = 77,260.60 : x
  2. Step 2: Convert to fraction form
    82,509.40/123,764.10 = 77,260.60/x
  3. Step 3: Cross multiply
    82,509.40x = 123,764.10 × 77,260.60
  4. Step 4: Simplify right side
    82,509.40x = 9,562,088,624.46
  5. Step 5: Solve for x
    x = 9,562,088,624.46/82,509.40
  6. Step 6: Final answer
    x = 115,890.90

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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.