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Finding the Fourth Proportional to 87,326, 120,509.88 and 47,582

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Solution

The fourth proportional to 87,326, 120,509.88 and 47,582 is: 65,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,326 : 120,509.88 = 47,582 : x
  2. Step 2: Convert to fraction form
    87,326/120,509.88 = 47,582/x
  3. Step 3: Cross multiply
    87,326x = 120,509.88 × 47,582
  4. Step 4: Simplify right side
    87,326x = 5,734,101,110.16
  5. Step 5: Solve for x
    x = 5,734,101,110.16/87,326
  6. Step 6: Final answer
    x = 65,663.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.