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Finding the Fourth Proportional to 103,959.30, 155,708.55 and 80,509.70

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Solution

The fourth proportional to 103,959.30, 155,708.55 and 80,509.70 is: 120,586.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,959.30 : 155,708.55 = 80,509.70 : x
  2. Step 2: Convert to fraction form
    103,959.30/155,708.55 = 80,509.70/x
  3. Step 3: Cross multiply
    103,959.30x = 155,708.55 × 80,509.70
  4. Step 4: Simplify right side
    103,959.30x = 12,536,048,647.94
  5. Step 5: Solve for x
    x = 12,536,048,647.94/103,959.30
  6. Step 6: Final answer
    x = 120,586.12

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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.