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Finding the Fourth Proportional to 97,697.60, 146,546.40 and 81,951.20

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Solution

The fourth proportional to 97,697.60, 146,546.40 and 81,951.20 is: 122,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,697.60 : 146,546.40 = 81,951.20 : x
  2. Step 2: Convert to fraction form
    97,697.60/146,546.40 = 81,951.20/x
  3. Step 3: Cross multiply
    97,697.60x = 146,546.40 × 81,951.20
  4. Step 4: Simplify right side
    97,697.60x = 12,009,653,335.68
  5. Step 5: Solve for x
    x = 12,009,653,335.68/97,697.60
  6. Step 6: Final answer
    x = 122,926.80

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1.5x scale

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.