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Finding the Fourth Proportional to 209,932.80, 314,899.20 and 85,363.20

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Solution

The fourth proportional to 209,932.80, 314,899.20 and 85,363.20 is: 128,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,932.80 : 314,899.20 = 85,363.20 : x
  2. Step 2: Convert to fraction form
    209,932.80/314,899.20 = 85,363.20/x
  3. Step 3: Cross multiply
    209,932.80x = 314,899.20 × 85,363.20
  4. Step 4: Simplify right side
    209,932.80x = 26,880,803,389.44
  5. Step 5: Solve for x
    x = 26,880,803,389.44/209,932.80
  6. Step 6: Final answer
    x = 128,044.80

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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.