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Finding the Fourth Proportional to 142,998.96, 214,419.24 and 64,188.72

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Solution

The fourth proportional to 142,998.96, 214,419.24 and 64,188.72 is: 96,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,998.96 : 214,419.24 = 64,188.72 : x
  2. Step 2: Convert to fraction form
    142,998.96/214,419.24 = 64,188.72/x
  3. Step 3: Cross multiply
    142,998.96x = 214,419.24 × 64,188.72
  4. Step 4: Simplify right side
    142,998.96x = 13,763,296,558.97
  5. Step 5: Solve for x
    x = 13,763,296,558.97/142,998.96
  6. Step 6: Final answer
    x = 96,247.53

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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.