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Finding the Fourth Proportional to 208,812.30, 313,218.45 and 75,692.40

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Solution

The fourth proportional to 208,812.30, 313,218.45 and 75,692.40 is: 113,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,812.30 : 313,218.45 = 75,692.40 : x
  2. Step 2: Convert to fraction form
    208,812.30/313,218.45 = 75,692.40/x
  3. Step 3: Cross multiply
    208,812.30x = 313,218.45 × 75,692.40
  4. Step 4: Simplify right side
    208,812.30x = 23,708,256,204.78
  5. Step 5: Solve for x
    x = 23,708,256,204.78/208,812.30
  6. Step 6: Final answer
    x = 113,538.60

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1.5x scale

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.