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Finding the Fourth Proportional to 207,861.60, 311,792.40 and 128,719.20

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Solution

The fourth proportional to 207,861.60, 311,792.40 and 128,719.20 is: 193,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,861.60 : 311,792.40 = 128,719.20 : x
  2. Step 2: Convert to fraction form
    207,861.60/311,792.40 = 128,719.20/x
  3. Step 3: Cross multiply
    207,861.60x = 311,792.40 × 128,719.20
  4. Step 4: Simplify right side
    207,861.60x = 40,133,668,294.08
  5. Step 5: Solve for x
    x = 40,133,668,294.08/207,861.60
  6. Step 6: Final answer
    x = 193,078.80

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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.