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Finding the Fourth Proportional to 191,995.75, 287,971.13 and 120,707.92

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Solution

The fourth proportional to 191,995.75, 287,971.13 and 120,707.92 is: 181,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,995.75 : 287,971.13 = 120,707.92 : x
  2. Step 2: Convert to fraction form
    191,995.75/287,971.13 = 120,707.92/x
  3. Step 3: Cross multiply
    191,995.75x = 287,971.13 × 120,707.92
  4. Step 4: Simplify right side
    191,995.75x = 34,760,396,264.85
  5. Step 5: Solve for x
    x = 34,760,396,264.85/191,995.75
  6. Step 6: Final answer
    x = 181,047.74

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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.