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Finding the Fourth Proportional to 120,208.77, 165,832.24 and 77,780.97

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Solution

The fourth proportional to 120,208.77, 165,832.24 and 77,780.97 is: 107,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,208.77 : 165,832.24 = 77,780.97 : x
  2. Step 2: Convert to fraction form
    120,208.77/165,832.24 = 77,780.97/x
  3. Step 3: Cross multiply
    120,208.77x = 165,832.24 × 77,780.97
  4. Step 4: Simplify right side
    120,208.77x = 12,898,592,484.47
  5. Step 5: Solve for x
    x = 12,898,592,484.47/120,208.77
  6. Step 6: Final answer
    x = 107,301.59

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1.5x scale

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.