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Finding the Fourth Proportional to 97,471.96, 145,875.27 and 81,694.80

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Solution

The fourth proportional to 97,471.96, 145,875.27 and 81,694.80 is: 122,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,471.96 : 145,875.27 = 81,694.80 : x
  2. Step 2: Convert to fraction form
    97,471.96/145,875.27 = 81,694.80/x
  3. Step 3: Cross multiply
    97,471.96x = 145,875.27 × 81,694.80
  4. Step 4: Simplify right side
    97,471.96x = 11,917,251,666.78
  5. Step 5: Solve for x
    x = 11,917,251,666.78/97,471.96
  6. Step 6: Final answer
    x = 122,263.39

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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.