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Finding the Fourth Proportional to 106,462.20, 159,693.30 and 87,435.30

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Solution

The fourth proportional to 106,462.20, 159,693.30 and 87,435.30 is: 131,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,462.20 : 159,693.30 = 87,435.30 : x
  2. Step 2: Convert to fraction form
    106,462.20/159,693.30 = 87,435.30/x
  3. Step 3: Cross multiply
    106,462.20x = 159,693.30 × 87,435.30
  4. Step 4: Simplify right side
    106,462.20x = 13,962,831,593.49
  5. Step 5: Solve for x
    x = 13,962,831,593.49/106,462.20
  6. Step 6: Final answer
    x = 131,152.95

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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.