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Finding the Fourth Proportional to 101,541.48, 152,336.52 and 31,420.80

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Solution

The fourth proportional to 101,541.48, 152,336.52 and 31,420.80 is: 47,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,541.48 : 152,336.52 = 31,420.80 : x
  2. Step 2: Convert to fraction form
    101,541.48/152,336.52 = 31,420.80/x
  3. Step 3: Cross multiply
    101,541.48x = 152,336.52 × 31,420.80
  4. Step 4: Simplify right side
    101,541.48x = 4,786,535,327.62
  5. Step 5: Solve for x
    x = 4,786,535,327.62/101,541.48
  6. Step 6: Final answer
    x = 47,138.72

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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.