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Finding the Fourth Proportional to 209,062.31, 313,631.26 and 76,129.16

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Solution

The fourth proportional to 209,062.31, 313,631.26 and 76,129.16 is: 114,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,062.31 : 313,631.26 = 76,129.16 : x
  2. Step 2: Convert to fraction form
    209,062.31/313,631.26 = 76,129.16/x
  3. Step 3: Cross multiply
    209,062.31x = 313,631.26 × 76,129.16
  4. Step 4: Simplify right side
    209,062.31x = 23,876,482,615.06
  5. Step 5: Solve for x
    x = 23,876,482,615.06/209,062.31
  6. Step 6: Final answer
    x = 114,207.50

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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.