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Finding the Fourth Proportional to 97,967.20, 146,821.20 and 86,821.60

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Solution

The fourth proportional to 97,967.20, 146,821.20 and 86,821.60 is: 130,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,967.20 : 146,821.20 = 86,821.60 : x
  2. Step 2: Convert to fraction form
    97,967.20/146,821.20 = 86,821.60/x
  3. Step 3: Cross multiply
    97,967.20x = 146,821.20 × 86,821.60
  4. Step 4: Simplify right side
    97,967.20x = 12,747,251,497.92
  5. Step 5: Solve for x
    x = 12,747,251,497.92/97,967.20
  6. Step 6: Final answer
    x = 130,117.54

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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.