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Finding the Fourth Proportional to 141,849.16, 212,750.70 and 66,969.16

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Solution

The fourth proportional to 141,849.16, 212,750.70 and 66,969.16 is: 100,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,849.16 : 212,750.70 = 66,969.16 : x
  2. Step 2: Convert to fraction form
    141,849.16/212,750.70 = 66,969.16/x
  3. Step 3: Cross multiply
    141,849.16x = 212,750.70 × 66,969.16
  4. Step 4: Simplify right side
    141,849.16x = 14,247,735,668.41
  5. Step 5: Solve for x
    x = 14,247,735,668.41/141,849.16
  6. Step 6: Final answer
    x = 100,442.86

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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.