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Finding the Fourth Proportional to 151,643.60, 227,638.20 and 89,349.20

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Solution

The fourth proportional to 151,643.60, 227,638.20 and 89,349.20 is: 134,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,643.60 : 227,638.20 = 89,349.20 : x
  2. Step 2: Convert to fraction form
    151,643.60/227,638.20 = 89,349.20/x
  3. Step 3: Cross multiply
    151,643.60x = 227,638.20 × 89,349.20
  4. Step 4: Simplify right side
    151,643.60x = 20,339,291,059.44
  5. Step 5: Solve for x
    x = 20,339,291,059.44/151,643.60
  6. Step 6: Final answer
    x = 134,125.61

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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.