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Finding the Fourth Proportional to 130,761, 196,170.66 and 47,655

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Solution

The fourth proportional to 130,761, 196,170.66 and 47,655 is: 71,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,761 : 196,170.66 = 47,655 : x
  2. Step 2: Convert to fraction form
    130,761/196,170.66 = 47,655/x
  3. Step 3: Cross multiply
    130,761x = 196,170.66 × 47,655
  4. Step 4: Simplify right side
    130,761x = 9,348,512,802.30
  5. Step 5: Solve for x
    x = 9,348,512,802.30/130,761
  6. Step 6: Final answer
    x = 71,493.13

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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.