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Finding the Fourth Proportional to 207,101.60, 310,652.40 and 171,672.20

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Solution

The fourth proportional to 207,101.60, 310,652.40 and 171,672.20 is: 257,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,101.60 : 310,652.40 = 171,672.20 : x
  2. Step 2: Convert to fraction form
    207,101.60/310,652.40 = 171,672.20/x
  3. Step 3: Cross multiply
    207,101.60x = 310,652.40 × 171,672.20
  4. Step 4: Simplify right side
    207,101.60x = 53,330,380,943.28
  5. Step 5: Solve for x
    x = 53,330,380,943.28/207,101.60
  6. Step 6: Final answer
    x = 257,508.30

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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.