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Finding the Fourth Proportional to 142,689.76, 214,138.42 and 114,944.76

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Solution

The fourth proportional to 142,689.76, 214,138.42 and 114,944.76 is: 172,500.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,689.76 : 214,138.42 = 114,944.76 : x
  2. Step 2: Convert to fraction form
    142,689.76/214,138.42 = 114,944.76/x
  3. Step 3: Cross multiply
    142,689.76x = 214,138.42 × 114,944.76
  4. Step 4: Simplify right side
    142,689.76x = 24,614,089,006.32
  5. Step 5: Solve for x
    x = 24,614,089,006.32/142,689.76
  6. Step 6: Final answer
    x = 172,500.74

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1.5x scale

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.