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Finding the Fourth Proportional to 120,091.62, 165,726.54 and 72,345.72

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Solution

The fourth proportional to 120,091.62, 165,726.54 and 72,345.72 is: 99,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,091.62 : 165,726.54 = 72,345.72 : x
  2. Step 2: Convert to fraction form
    120,091.62/165,726.54 = 72,345.72/x
  3. Step 3: Cross multiply
    120,091.62x = 165,726.54 × 72,345.72
  4. Step 4: Simplify right side
    120,091.62x = 11,989,605,859.41
  5. Step 5: Solve for x
    x = 11,989,605,859.41/120,091.62
  6. Step 6: Final answer
    x = 99,837.16

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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.