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Finding the Fourth Proportional to 106,501.22, 146,978.81 and 61,193.87

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Solution

The fourth proportional to 106,501.22, 146,978.81 and 61,193.87 is: 84,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,501.22 : 146,978.81 = 61,193.87 : x
  2. Step 2: Convert to fraction form
    106,501.22/146,978.81 = 61,193.87/x
  3. Step 3: Cross multiply
    106,501.22x = 146,978.81 × 61,193.87
  4. Step 4: Simplify right side
    106,501.22x = 8,994,202,191.89
  5. Step 5: Solve for x
    x = 8,994,202,191.89/106,501.22
  6. Step 6: Final answer
    x = 84,451.64

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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.