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Finding the Fourth Proportional to 272,047.70, 408,071.55 and 105,727.70

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Solution

The fourth proportional to 272,047.70, 408,071.55 and 105,727.70 is: 158,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,047.70 : 408,071.55 = 105,727.70 : x
  2. Step 2: Convert to fraction form
    272,047.70/408,071.55 = 105,727.70/x
  3. Step 3: Cross multiply
    272,047.70x = 408,071.55 × 105,727.70
  4. Step 4: Simplify right side
    272,047.70x = 43,144,466,416.94
  5. Step 5: Solve for x
    x = 43,144,466,416.94/272,047.70
  6. Step 6: Final answer
    x = 158,591.55

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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.