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Finding the Fourth Proportional to 209,962.80, 314,944.20 and 85,393.20

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Solution

The fourth proportional to 209,962.80, 314,944.20 and 85,393.20 is: 128,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,962.80 : 314,944.20 = 85,393.20 : x
  2. Step 2: Convert to fraction form
    209,962.80/314,944.20 = 85,393.20/x
  3. Step 3: Cross multiply
    209,962.80x = 314,944.20 × 85,393.20
  4. Step 4: Simplify right side
    209,962.80x = 26,894,093,059.44
  5. Step 5: Solve for x
    x = 26,894,093,059.44/209,962.80
  6. Step 6: Final answer
    x = 128,089.80

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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.