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Finding the Fourth Proportional to 97,980.60, 146,679.30 and 64,738.20

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Solution

The fourth proportional to 97,980.60, 146,679.30 and 64,738.20 is: 96,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,980.60 : 146,679.30 = 64,738.20 : x
  2. Step 2: Convert to fraction form
    97,980.60/146,679.30 = 64,738.20/x
  3. Step 3: Cross multiply
    97,980.60x = 146,679.30 × 64,738.20
  4. Step 4: Simplify right side
    97,980.60x = 9,495,753,859.26
  5. Step 5: Solve for x
    x = 9,495,753,859.26/97,980.60
  6. Step 6: Final answer
    x = 96,914.63

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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.