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Finding the Fourth Proportional to 142,785.60, 214,113.60 and 54,009.60

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Solution

The fourth proportional to 142,785.60, 214,113.60 and 54,009.60 is: 80,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,785.60 : 214,113.60 = 54,009.60 : x
  2. Step 2: Convert to fraction form
    142,785.60/214,113.60 = 54,009.60/x
  3. Step 3: Cross multiply
    142,785.60x = 214,113.60 × 54,009.60
  4. Step 4: Simplify right side
    142,785.60x = 11,564,189,890.56
  5. Step 5: Solve for x
    x = 11,564,189,890.56/142,785.60
  6. Step 6: Final answer
    x = 80,989.89

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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.