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Finding the Fourth Proportional to 142,756.40, 214,134.60 and 87,460.40

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Solution

The fourth proportional to 142,756.40, 214,134.60 and 87,460.40 is: 131,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,756.40 : 214,134.60 = 87,460.40 : x
  2. Step 2: Convert to fraction form
    142,756.40/214,134.60 = 87,460.40/x
  3. Step 3: Cross multiply
    142,756.40x = 214,134.60 × 87,460.40
  4. Step 4: Simplify right side
    142,756.40x = 18,728,297,769.84
  5. Step 5: Solve for x
    x = 18,728,297,769.84/142,756.40
  6. Step 6: Final answer
    x = 131,190.60

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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.