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Finding the Fourth Proportional to 225,181.16, 310,747.19 and 128,381.94

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Solution

The fourth proportional to 225,181.16, 310,747.19 and 128,381.94 is: 177,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,181.16 : 310,747.19 = 128,381.94 : x
  2. Step 2: Convert to fraction form
    225,181.16/310,747.19 = 128,381.94/x
  3. Step 3: Cross multiply
    225,181.16x = 310,747.19 × 128,381.94
  4. Step 4: Simplify right side
    225,181.16x = 39,894,326,398.28
  5. Step 5: Solve for x
    x = 39,894,326,398.28/225,181.16
  6. Step 6: Final answer
    x = 177,165.47

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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.