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Finding the Fourth Proportional to 213,592.38, 320,407.71 and 61,787.07

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Solution

The fourth proportional to 213,592.38, 320,407.71 and 61,787.07 is: 92,686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,592.38 : 320,407.71 = 61,787.07 : x
  2. Step 2: Convert to fraction form
    213,592.38/320,407.71 = 61,787.07/x
  3. Step 3: Cross multiply
    213,592.38x = 320,407.71 × 61,787.07
  4. Step 4: Simplify right side
    213,592.38x = 19,797,054,576.14
  5. Step 5: Solve for x
    x = 19,797,054,576.14/213,592.38
  6. Step 6: Final answer
    x = 92,686.15

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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.