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Finding the Fourth Proportional to 97,680.80, 146,132.40 and 84,677.60

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Solution

The fourth proportional to 97,680.80, 146,132.40 and 84,677.60 is: 126,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,680.80 : 146,132.40 = 84,677.60 : x
  2. Step 2: Convert to fraction form
    97,680.80/146,132.40 = 84,677.60/x
  3. Step 3: Cross multiply
    97,680.80x = 146,132.40 × 84,677.60
  4. Step 4: Simplify right side
    97,680.80x = 12,374,140,914.24
  5. Step 5: Solve for x
    x = 12,374,140,914.24/97,680.80
  6. Step 6: Final answer
    x = 126,679.36

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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.