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Finding the Fourth Proportional to 209,889.32, 314,883.20 and 83,537.22

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Solution

The fourth proportional to 209,889.32, 314,883.20 and 83,537.22 is: 125,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,889.32 : 314,883.20 = 83,537.22 : x
  2. Step 2: Convert to fraction form
    209,889.32/314,883.20 = 83,537.22/x
  3. Step 3: Cross multiply
    209,889.32x = 314,883.20 × 83,537.22
  4. Step 4: Simplify right side
    209,889.32x = 26,304,467,152.70
  5. Step 5: Solve for x
    x = 26,304,467,152.70/209,889.32
  6. Step 6: Final answer
    x = 125,325.42

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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.