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Finding the Fourth Proportional to 129,746, 179,049.50 and 70,130

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Solution

The fourth proportional to 129,746, 179,049.50 and 70,130 is: 96,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,746 : 179,049.50 = 70,130 : x
  2. Step 2: Convert to fraction form
    129,746/179,049.50 = 70,130/x
  3. Step 3: Cross multiply
    129,746x = 179,049.50 × 70,130
  4. Step 4: Simplify right side
    129,746x = 12,556,741,435
  5. Step 5: Solve for x
    x = 12,556,741,435/129,746
  6. Step 6: Final answer
    x = 96,779.41

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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.