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Finding the Fourth Proportional to 157,584.34, 236,420.25 and 87,512.86

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Solution

The fourth proportional to 157,584.34, 236,420.25 and 87,512.86 is: 131,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,584.34 : 236,420.25 = 87,512.86 : x
  2. Step 2: Convert to fraction form
    157,584.34/236,420.25 = 87,512.86/x
  3. Step 3: Cross multiply
    157,584.34x = 236,420.25 × 87,512.86
  4. Step 4: Simplify right side
    157,584.34x = 20,689,812,239.42
  5. Step 5: Solve for x
    x = 20,689,812,239.42/157,584.34
  6. Step 6: Final answer
    x = 131,293.58

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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.