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Finding the Fourth Proportional to 97,621.60, 146,108.40 and 70,891.60

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Solution

The fourth proportional to 97,621.60, 146,108.40 and 70,891.60 is: 106,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,621.60 : 146,108.40 = 70,891.60 : x
  2. Step 2: Convert to fraction form
    97,621.60/146,108.40 = 70,891.60/x
  3. Step 3: Cross multiply
    97,621.60x = 146,108.40 × 70,891.60
  4. Step 4: Simplify right side
    97,621.60x = 10,357,858,249.44
  5. Step 5: Solve for x
    x = 10,357,858,249.44/97,621.60
  6. Step 6: Final answer
    x = 106,102.12

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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.