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Finding the Fourth Proportional to 142,917.12, 214,386.12 and 48,147.48

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Solution

The fourth proportional to 142,917.12, 214,386.12 and 48,147.48 is: 72,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,917.12 : 214,386.12 = 48,147.48 : x
  2. Step 2: Convert to fraction form
    142,917.12/214,386.12 = 48,147.48/x
  3. Step 3: Cross multiply
    142,917.12x = 214,386.12 × 48,147.48
  4. Step 4: Simplify right side
    142,917.12x = 10,322,151,424.98
  5. Step 5: Solve for x
    x = 10,322,151,424.98/142,917.12
  6. Step 6: Final answer
    x = 72,224.74

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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.