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Finding the Fourth Proportional to 153,190.91, 211,255.03 and 102,205.72

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Solution

The fourth proportional to 153,190.91, 211,255.03 and 102,205.72 is: 140,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190.91 : 211,255.03 = 102,205.72 : x
  2. Step 2: Convert to fraction form
    153,190.91/211,255.03 = 102,205.72/x
  3. Step 3: Cross multiply
    153,190.91x = 211,255.03 × 102,205.72
  4. Step 4: Simplify right side
    153,190.91x = 21,591,472,444.77
  5. Step 5: Solve for x
    x = 21,591,472,444.77/153,190.91
  6. Step 6: Final answer
    x = 140,944.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.