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Finding the Fourth Proportional to 203,861.29, 305,670.80 and 77,510.79

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Solution

The fourth proportional to 203,861.29, 305,670.80 and 77,510.79 is: 116,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,861.29 : 305,670.80 = 77,510.79 : x
  2. Step 2: Convert to fraction form
    203,861.29/305,670.80 = 77,510.79/x
  3. Step 3: Cross multiply
    203,861.29x = 305,670.80 × 77,510.79
  4. Step 4: Simplify right side
    203,861.29x = 23,692,783,272.02
  5. Step 5: Solve for x
    x = 23,692,783,272.02/203,861.29
  6. Step 6: Final answer
    x = 116,220.12

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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.