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Finding the Fourth Proportional to 87,033, 120,106.26 and 47,289

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Solution

The fourth proportional to 87,033, 120,106.26 and 47,289 is: 65,259.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,033 : 120,106.26 = 47,289 : x
  2. Step 2: Convert to fraction form
    87,033/120,106.26 = 47,289/x
  3. Step 3: Cross multiply
    87,033x = 120,106.26 × 47,289
  4. Step 4: Simplify right side
    87,033x = 5,679,704,929.14
  5. Step 5: Solve for x
    x = 5,679,704,929.14/87,033
  6. Step 6: Final answer
    x = 65,259.21

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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.