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Finding the Fourth Proportional to 209,522.30, 314,147.97 and 89,657.48

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Solution

The fourth proportional to 209,522.30, 314,147.97 and 89,657.48 is: 134,428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,522.30 : 314,147.97 = 89,657.48 : x
  2. Step 2: Convert to fraction form
    209,522.30/314,147.97 = 89,657.48/x
  3. Step 3: Cross multiply
    209,522.30x = 314,147.97 × 89,657.48
  4. Step 4: Simplify right side
    209,522.30x = 28,165,716,122.69
  5. Step 5: Solve for x
    x = 28,165,716,122.69/209,522.30
  6. Step 6: Final answer
    x = 134,428.25

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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.