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Finding the Fourth Proportional to 97,694.80, 146,104.80 and 81,948.40

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Solution

The fourth proportional to 97,694.80, 146,104.80 and 81,948.40 is: 122,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694.80 : 146,104.80 = 81,948.40 : x
  2. Step 2: Convert to fraction form
    97,694.80/146,104.80 = 81,948.40/x
  3. Step 3: Cross multiply
    97,694.80x = 146,104.80 × 81,948.40
  4. Step 4: Simplify right side
    97,694.80x = 11,973,054,592.32
  5. Step 5: Solve for x
    x = 11,973,054,592.32/97,694.80
  6. Step 6: Final answer
    x = 122,555.70

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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.