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Finding the Fourth Proportional to 207,376.40, 310,834.20 and 89,027.60

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Solution

The fourth proportional to 207,376.40, 310,834.20 and 89,027.60 is: 133,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,376.40 : 310,834.20 = 89,027.60 : x
  2. Step 2: Convert to fraction form
    207,376.40/310,834.20 = 89,027.60/x
  3. Step 3: Cross multiply
    207,376.40x = 310,834.20 × 89,027.60
  4. Step 4: Simplify right side
    207,376.40x = 27,672,822,823.92
  5. Step 5: Solve for x
    x = 27,672,822,823.92/207,376.40
  6. Step 6: Final answer
    x = 133,442.49

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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.