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Finding the Fourth Proportional to 193,152.40, 289,728.60 and 68,477.20

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Solution

The fourth proportional to 193,152.40, 289,728.60 and 68,477.20 is: 102,715.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,152.40 : 289,728.60 = 68,477.20 : x
  2. Step 2: Convert to fraction form
    193,152.40/289,728.60 = 68,477.20/x
  3. Step 3: Cross multiply
    193,152.40x = 289,728.60 × 68,477.20
  4. Step 4: Simplify right side
    193,152.40x = 19,839,803,287.92
  5. Step 5: Solve for x
    x = 19,839,803,287.92/193,152.40
  6. Step 6: Final answer
    x = 102,715.80

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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.