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Finding the Fourth Proportional to 130,350, 179,883 and 70,734

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Solution

The fourth proportional to 130,350, 179,883 and 70,734 is: 97,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,350 : 179,883 = 70,734 : x
  2. Step 2: Convert to fraction form
    130,350/179,883 = 70,734/x
  3. Step 3: Cross multiply
    130,350x = 179,883 × 70,734
  4. Step 4: Simplify right side
    130,350x = 12,723,844,122
  5. Step 5: Solve for x
    x = 12,723,844,122/130,350
  6. Step 6: Final answer
    x = 97,612.92

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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.