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Finding the Fourth Proportional to 199,624.57, 299,323.86 and 81,156.61

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Solution

The fourth proportional to 199,624.57, 299,323.86 and 81,156.61 is: 121,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,624.57 : 299,323.86 = 81,156.61 : x
  2. Step 2: Convert to fraction form
    199,624.57/299,323.86 = 81,156.61/x
  3. Step 3: Cross multiply
    199,624.57x = 299,323.86 × 81,156.61
  4. Step 4: Simplify right side
    199,624.57x = 24,292,109,769.71
  5. Step 5: Solve for x
    x = 24,292,109,769.71/199,624.57
  6. Step 6: Final answer
    x = 121,688.98

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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.