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Finding the Fourth Proportional to 199,707.72, 299,478.28 and 81,298.68

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Solution

The fourth proportional to 199,707.72, 299,478.28 and 81,298.68 is: 121,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,707.72 : 299,478.28 = 81,298.68 : x
  2. Step 2: Convert to fraction form
    199,707.72/299,478.28 = 81,298.68/x
  3. Step 3: Cross multiply
    199,707.72x = 299,478.28 × 81,298.68
  4. Step 4: Simplify right side
    199,707.72x = 24,347,188,852.67
  5. Step 5: Solve for x
    x = 24,347,188,852.67/199,707.72
  6. Step 6: Final answer
    x = 121,914.11

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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.