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Finding the Fourth Proportional to 141,666, 212,535.48 and 52,920.12

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Solution

The fourth proportional to 141,666, 212,535.48 and 52,920.12 is: 79,393.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,666 : 212,535.48 = 52,920.12 : x
  2. Step 2: Convert to fraction form
    141,666/212,535.48 = 52,920.12/x
  3. Step 3: Cross multiply
    141,666x = 212,535.48 × 52,920.12
  4. Step 4: Simplify right side
    141,666x = 11,247,403,105.86
  5. Step 5: Solve for x
    x = 11,247,403,105.86/141,666
  6. Step 6: Final answer
    x = 79,393.81

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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.