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Finding the Fourth Proportional to 172,471.20, 238,009.92 and 97,019.70

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Solution

The fourth proportional to 172,471.20, 238,009.92 and 97,019.70 is: 133,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,471.20 : 238,009.92 = 97,019.70 : x
  2. Step 2: Convert to fraction form
    172,471.20/238,009.92 = 97,019.70/x
  3. Step 3: Cross multiply
    172,471.20x = 238,009.92 × 97,019.70
  4. Step 4: Simplify right side
    172,471.20x = 23,091,651,035.42
  5. Step 5: Solve for x
    x = 23,091,651,035.42/172,471.20
  6. Step 6: Final answer
    x = 133,887.00

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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.