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Finding the Fourth Proportional to 97,958.40, 146,937.60 and 66,854.40

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Solution

The fourth proportional to 97,958.40, 146,937.60 and 66,854.40 is: 100,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,958.40 : 146,937.60 = 66,854.40 : x
  2. Step 2: Convert to fraction form
    97,958.40/146,937.60 = 66,854.40/x
  3. Step 3: Cross multiply
    97,958.40x = 146,937.60 × 66,854.40
  4. Step 4: Simplify right side
    97,958.40x = 9,823,425,085.44
  5. Step 5: Solve for x
    x = 9,823,425,085.44/97,958.40
  6. Step 6: Final answer
    x = 100,281.60

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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.