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Finding the Fourth Proportional to 101,477.86, 152,198.97 and 31,357.78

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Solution

The fourth proportional to 101,477.86, 152,198.97 and 31,357.78 is: 47,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,477.86 : 152,198.97 = 31,357.78 : x
  2. Step 2: Convert to fraction form
    101,477.86/152,198.97 = 31,357.78/x
  3. Step 3: Cross multiply
    101,477.86x = 152,198.97 × 31,357.78
  4. Step 4: Simplify right side
    101,477.86x = 4,772,621,319.40
  5. Step 5: Solve for x
    x = 4,772,621,319.40/101,477.86
  6. Step 6: Final answer
    x = 47,031.16

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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.