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Finding the Fourth Proportional to 107,980, 161,970.16 and 34,108

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Solution

The fourth proportional to 107,980, 161,970.16 and 34,108 is: 51,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,980 : 161,970.16 = 34,108 : x
  2. Step 2: Convert to fraction form
    107,980/161,970.16 = 34,108/x
  3. Step 3: Cross multiply
    107,980x = 161,970.16 × 34,108
  4. Step 4: Simplify right side
    107,980x = 5,524,478,217.28
  5. Step 5: Solve for x
    x = 5,524,478,217.28/107,980
  6. Step 6: Final answer
    x = 51,162.05

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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.