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Finding the Fourth Proportional to 213,125.67, 319,685.72 and 61,326.71

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Solution

The fourth proportional to 213,125.67, 319,685.72 and 61,326.71 is: 91,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,125.67 : 319,685.72 = 61,326.71 : x
  2. Step 2: Convert to fraction form
    213,125.67/319,685.72 = 61,326.71/x
  3. Step 3: Cross multiply
    213,125.67x = 319,685.72 × 61,326.71
  4. Step 4: Simplify right side
    213,125.67x = 19,605,273,441.58
  5. Step 5: Solve for x
    x = 19,605,273,441.58/213,125.67
  6. Step 6: Final answer
    x = 91,989.26

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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.