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Finding the Fourth Proportional to 213,098.38, 319,699.62 and 70,943.38

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Solution

The fourth proportional to 213,098.38, 319,699.62 and 70,943.38 is: 106,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,098.38 : 319,699.62 = 70,943.38 : x
  2. Step 2: Convert to fraction form
    213,098.38/319,699.62 = 70,943.38/x
  3. Step 3: Cross multiply
    213,098.38x = 319,699.62 × 70,943.38
  4. Step 4: Simplify right side
    213,098.38x = 22,680,571,627.52
  5. Step 5: Solve for x
    x = 22,680,571,627.52/213,098.38
  6. Step 6: Final answer
    x = 106,432.40

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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.