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Finding the Fourth Proportional to 209,805.92, 314,335.72 and 120,875.67

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Solution

The fourth proportional to 209,805.92, 314,335.72 and 120,875.67 is: 181,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,805.92 : 314,335.72 = 120,875.67 : x
  2. Step 2: Convert to fraction form
    209,805.92/314,335.72 = 120,875.67/x
  3. Step 3: Cross multiply
    209,805.92x = 314,335.72 × 120,875.67
  4. Step 4: Simplify right side
    209,805.92x = 37,995,540,759.93
  5. Step 5: Solve for x
    x = 37,995,540,759.93/209,805.92
  6. Step 6: Final answer
    x = 181,098.52

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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.