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Finding the Fourth Proportional to 142,742.60, 214,113.90 and 72,758.60

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Solution

The fourth proportional to 142,742.60, 214,113.90 and 72,758.60 is: 109,137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,742.60 : 214,113.90 = 72,758.60 : x
  2. Step 2: Convert to fraction form
    142,742.60/214,113.90 = 72,758.60/x
  3. Step 3: Cross multiply
    142,742.60x = 214,113.90 × 72,758.60
  4. Step 4: Simplify right side
    142,742.60x = 15,578,627,604.54
  5. Step 5: Solve for x
    x = 15,578,627,604.54/142,742.60
  6. Step 6: Final answer
    x = 109,137.90

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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.