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Finding the Fourth Proportional to 206,800.94, 310,232.93 and 105,543.69

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Solution

The fourth proportional to 206,800.94, 310,232.93 and 105,543.69 is: 158,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,800.94 : 310,232.93 = 105,543.69 : x
  2. Step 2: Convert to fraction form
    206,800.94/310,232.93 = 105,543.69/x
  3. Step 3: Cross multiply
    206,800.94x = 310,232.93 × 105,543.69
  4. Step 4: Simplify right side
    206,800.94x = 32,743,127,663.99
  5. Step 5: Solve for x
    x = 32,743,127,663.99/206,800.94
  6. Step 6: Final answer
    x = 158,331.62

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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.