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Finding the Fourth Proportional to 101,891.70, 152,852.91 and 31,776.50

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Solution

The fourth proportional to 101,891.70, 152,852.91 and 31,776.50 is: 47,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,891.70 : 152,852.91 = 31,776.50 : x
  2. Step 2: Convert to fraction form
    101,891.70/152,852.91 = 31,776.50/x
  3. Step 3: Cross multiply
    101,891.70x = 152,852.91 × 31,776.50
  4. Step 4: Simplify right side
    101,891.70x = 4,857,130,494.62
  5. Step 5: Solve for x
    x = 4,857,130,494.62/101,891.70
  6. Step 6: Final answer
    x = 47,669.54

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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.