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Finding the Fourth Proportional to 120,085.59, 179,879.28 and 70,013.82

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Solution

The fourth proportional to 120,085.59, 179,879.28 and 70,013.82 is: 104,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,085.59 : 179,879.28 = 70,013.82 : x
  2. Step 2: Convert to fraction form
    120,085.59/179,879.28 = 70,013.82/x
  3. Step 3: Cross multiply
    120,085.59x = 179,879.28 × 70,013.82
  4. Step 4: Simplify right side
    120,085.59x = 12,594,035,531.65
  5. Step 5: Solve for x
    x = 12,594,035,531.65/120,085.59
  6. Step 6: Final answer
    x = 104,875.49

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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.