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Finding the Fourth Proportional to 141,940.90, 212,955.70 and 42,101.65

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Solution

The fourth proportional to 141,940.90, 212,955.70 and 42,101.65 is: 63,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,940.90 : 212,955.70 = 42,101.65 : x
  2. Step 2: Convert to fraction form
    141,940.90/212,955.70 = 42,101.65/x
  3. Step 3: Cross multiply
    141,940.90x = 212,955.70 × 42,101.65
  4. Step 4: Simplify right side
    141,940.90x = 8,965,786,346.91
  5. Step 5: Solve for x
    x = 8,965,786,346.91/141,940.90
  6. Step 6: Final answer
    x = 63,165.63

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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.