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Finding the Fourth Proportional to 122,038.20, 182,700.90 and 87,046.20

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Solution

The fourth proportional to 122,038.20, 182,700.90 and 87,046.20 is: 130,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,038.20 : 182,700.90 = 87,046.20 : x
  2. Step 2: Convert to fraction form
    122,038.20/182,700.90 = 87,046.20/x
  3. Step 3: Cross multiply
    122,038.20x = 182,700.90 × 87,046.20
  4. Step 4: Simplify right side
    122,038.20x = 15,903,419,081.58
  5. Step 5: Solve for x
    x = 15,903,419,081.58/122,038.20
  6. Step 6: Final answer
    x = 130,315.09

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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.