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Finding the Fourth Proportional to 141,969.60, 212,954.40 and 42,145.20

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Solution

The fourth proportional to 141,969.60, 212,954.40 and 42,145.20 is: 63,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,969.60 : 212,954.40 = 42,145.20 : x
  2. Step 2: Convert to fraction form
    141,969.60/212,954.40 = 42,145.20/x
  3. Step 3: Cross multiply
    141,969.60x = 212,954.40 × 42,145.20
  4. Step 4: Simplify right side
    141,969.60x = 8,975,005,778.88
  5. Step 5: Solve for x
    x = 8,975,005,778.88/141,969.60
  6. Step 6: Final answer
    x = 63,217.80

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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.