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Finding the Fourth Proportional to 200,088.10, 300,021.32 and 81,842.46

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Solution

The fourth proportional to 200,088.10, 300,021.32 and 81,842.46 is: 122,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,088.10 : 300,021.32 = 81,842.46 : x
  2. Step 2: Convert to fraction form
    200,088.10/300,021.32 = 81,842.46/x
  3. Step 3: Cross multiply
    200,088.10x = 300,021.32 × 81,842.46
  4. Step 4: Simplify right side
    200,088.10x = 24,554,482,881.25
  5. Step 5: Solve for x
    x = 24,554,482,881.25/200,088.10
  6. Step 6: Final answer
    x = 122,718.36

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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.