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Finding the Fourth Proportional to 97,712.80, 146,131.80 and 81,966.40

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Solution

The fourth proportional to 97,712.80, 146,131.80 and 81,966.40 is: 122,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712.80 : 146,131.80 = 81,966.40 : x
  2. Step 2: Convert to fraction form
    97,712.80/146,131.80 = 81,966.40/x
  3. Step 3: Cross multiply
    97,712.80x = 146,131.80 × 81,966.40
  4. Step 4: Simplify right side
    97,712.80x = 11,977,897,571.52
  5. Step 5: Solve for x
    x = 11,977,897,571.52/97,712.80
  6. Step 6: Final answer
    x = 122,582.69

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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.