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Finding the Fourth Proportional to 130,050, 179,469 and 70,434

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Solution

The fourth proportional to 130,050, 179,469 and 70,434 is: 97,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,050 : 179,469 = 70,434 : x
  2. Step 2: Convert to fraction form
    130,050/179,469 = 70,434/x
  3. Step 3: Cross multiply
    130,050x = 179,469 × 70,434
  4. Step 4: Simplify right side
    130,050x = 12,640,719,546
  5. Step 5: Solve for x
    x = 12,640,719,546/130,050
  6. Step 6: Final answer
    x = 97,198.92

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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.