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Finding the Fourth Proportional to 142,313.72, 213,027.71 and 89,612.48

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Solution

The fourth proportional to 142,313.72, 213,027.71 and 89,612.48 is: 134,139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,313.72 : 213,027.71 = 89,612.48 : x
  2. Step 2: Convert to fraction form
    142,313.72/213,027.71 = 89,612.48/x
  3. Step 3: Cross multiply
    142,313.72x = 213,027.71 × 89,612.48
  4. Step 4: Simplify right side
    142,313.72x = 19,089,941,486.33
  5. Step 5: Solve for x
    x = 19,089,941,486.33/142,313.72
  6. Step 6: Final answer
    x = 134,139.86

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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.