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Finding the Fourth Proportional to 208,934.40, 313,401.60 and 51,164.40

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Solution

The fourth proportional to 208,934.40, 313,401.60 and 51,164.40 is: 76,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,934.40 : 313,401.60 = 51,164.40 : x
  2. Step 2: Convert to fraction form
    208,934.40/313,401.60 = 51,164.40/x
  3. Step 3: Cross multiply
    208,934.40x = 313,401.60 × 51,164.40
  4. Step 4: Simplify right side
    208,934.40x = 16,035,004,823.04
  5. Step 5: Solve for x
    x = 16,035,004,823.04/208,934.40
  6. Step 6: Final answer
    x = 76,746.60

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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.