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Finding the Fourth Proportional to 209,064.32, 313,497.72 and 81,040.58

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Solution

The fourth proportional to 209,064.32, 313,497.72 and 81,040.58 is: 121,522.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,064.32 : 313,497.72 = 81,040.58 : x
  2. Step 2: Convert to fraction form
    209,064.32/313,497.72 = 81,040.58/x
  3. Step 3: Cross multiply
    209,064.32x = 313,497.72 × 81,040.58
  4. Step 4: Simplify right side
    209,064.32x = 25,406,037,057.48
  5. Step 5: Solve for x
    x = 25,406,037,057.48/209,064.32
  6. Step 6: Final answer
    x = 121,522.59

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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.