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Finding the Fourth Proportional to 141,987.40, 213,153.90 and 71,830.60

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Solution

The fourth proportional to 141,987.40, 213,153.90 and 71,830.60 is: 107,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,987.40 : 213,153.90 = 71,830.60 : x
  2. Step 2: Convert to fraction form
    141,987.40/213,153.90 = 71,830.60/x
  3. Step 3: Cross multiply
    141,987.40x = 213,153.90 × 71,830.60
  4. Step 4: Simplify right side
    141,987.40x = 15,310,972,529.34
  5. Step 5: Solve for x
    x = 15,310,972,529.34/141,987.40
  6. Step 6: Final answer
    x = 107,833.32

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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.