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Finding the Fourth Proportional to 145,598.23, 200,892.31 and 81,912.79

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Solution

The fourth proportional to 145,598.23, 200,892.31 and 81,912.79 is: 113,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,598.23 : 200,892.31 = 81,912.79 : x
  2. Step 2: Convert to fraction form
    145,598.23/200,892.31 = 81,912.79/x
  3. Step 3: Cross multiply
    145,598.23x = 200,892.31 × 81,912.79
  4. Step 4: Simplify right side
    145,598.23x = 16,455,649,601.64
  5. Step 5: Solve for x
    x = 16,455,649,601.64/145,598.23
  6. Step 6: Final answer
    x = 113,020.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.