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Finding the Fourth Proportional to 209,862.70, 314,794.05 and 115,384.30

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Solution

The fourth proportional to 209,862.70, 314,794.05 and 115,384.30 is: 173,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,862.70 : 314,794.05 = 115,384.30 : x
  2. Step 2: Convert to fraction form
    209,862.70/314,794.05 = 115,384.30/x
  3. Step 3: Cross multiply
    209,862.70x = 314,794.05 × 115,384.30
  4. Step 4: Simplify right side
    209,862.70x = 36,322,291,103.42
  5. Step 5: Solve for x
    x = 36,322,291,103.42/209,862.70
  6. Step 6: Final answer
    x = 173,076.45

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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.