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Finding the Fourth Proportional to 209,949.60, 314,943.60 and 85,264.80

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Solution

The fourth proportional to 209,949.60, 314,943.60 and 85,264.80 is: 127,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,949.60 : 314,943.60 = 85,264.80 : x
  2. Step 2: Convert to fraction form
    209,949.60/314,943.60 = 85,264.80/x
  3. Step 3: Cross multiply
    209,949.60x = 314,943.60 × 85,264.80
  4. Step 4: Simplify right side
    209,949.60x = 26,853,603,065.28
  5. Step 5: Solve for x
    x = 26,853,603,065.28/209,949.60
  6. Step 6: Final answer
    x = 127,905.00

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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.