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Finding the Fourth Proportional to 130,173.92, 195,278.34 and 45,914.28

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Solution

The fourth proportional to 130,173.92, 195,278.34 and 45,914.28 is: 68,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,173.92 : 195,278.34 = 45,914.28 : x
  2. Step 2: Convert to fraction form
    130,173.92/195,278.34 = 45,914.28/x
  3. Step 3: Cross multiply
    130,173.92x = 195,278.34 × 45,914.28
  4. Step 4: Simplify right side
    130,173.92x = 8,966,064,380.70
  5. Step 5: Solve for x
    x = 8,966,064,380.70/130,173.92
  6. Step 6: Final answer
    x = 68,877.58

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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.