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Finding the Fourth Proportional to 97,980.20, 146,816.70 and 84,770.60

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Solution

The fourth proportional to 97,980.20, 146,816.70 and 84,770.60 is: 127,023.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,980.20 : 146,816.70 = 84,770.60 : x
  2. Step 2: Convert to fraction form
    97,980.20/146,816.70 = 84,770.60/x
  3. Step 3: Cross multiply
    97,980.20x = 146,816.70 × 84,770.60
  4. Step 4: Simplify right side
    97,980.20x = 12,445,739,749.02
  5. Step 5: Solve for x
    x = 12,445,739,749.02/97,980.20
  6. Step 6: Final answer
    x = 127,023.01

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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.