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Finding the Fourth Proportional to 212,887.71, 293,795.78 and 117,394.11

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Solution

The fourth proportional to 212,887.71, 293,795.78 and 117,394.11 is: 162,009.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,887.71 : 293,795.78 = 117,394.11 : x
  2. Step 2: Convert to fraction form
    212,887.71/293,795.78 = 117,394.11/x
  3. Step 3: Cross multiply
    212,887.71x = 293,795.78 × 117,394.11
  4. Step 4: Simplify right side
    212,887.71x = 34,489,893,527.89
  5. Step 5: Solve for x
    x = 34,489,893,527.89/212,887.71
  6. Step 6: Final answer
    x = 162,009.79

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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.