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Finding the Fourth Proportional to 193,148.40, 289,722.60 and 68,473.20

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Solution

The fourth proportional to 193,148.40, 289,722.60 and 68,473.20 is: 102,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,148.40 : 289,722.60 = 68,473.20 : x
  2. Step 2: Convert to fraction form
    193,148.40/289,722.60 = 68,473.20/x
  3. Step 3: Cross multiply
    193,148.40x = 289,722.60 × 68,473.20
  4. Step 4: Simplify right side
    193,148.40x = 19,838,233,534.32
  5. Step 5: Solve for x
    x = 19,838,233,534.32/193,148.40
  6. Step 6: Final answer
    x = 102,709.80

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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.