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Finding the Fourth Proportional to 170,713.40, 256,070.10 and 81,921.20

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Solution

The fourth proportional to 170,713.40, 256,070.10 and 81,921.20 is: 122,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,713.40 : 256,070.10 = 81,921.20 : x
  2. Step 2: Convert to fraction form
    170,713.40/256,070.10 = 81,921.20/x
  3. Step 3: Cross multiply
    170,713.40x = 256,070.10 × 81,921.20
  4. Step 4: Simplify right side
    170,713.40x = 20,977,569,876.12
  5. Step 5: Solve for x
    x = 20,977,569,876.12/170,713.40
  6. Step 6: Final answer
    x = 122,881.80

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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.