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Finding the Fourth Proportional to 106,031.82, 146,309.73 and 65,730.87

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Solution

The fourth proportional to 106,031.82, 146,309.73 and 65,730.87 is: 90,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,031.82 : 146,309.73 = 65,730.87 : x
  2. Step 2: Convert to fraction form
    106,031.82/146,309.73 = 65,730.87/x
  3. Step 3: Cross multiply
    106,031.82x = 146,309.73 × 65,730.87
  4. Step 4: Simplify right side
    106,031.82x = 9,617,065,842.37
  5. Step 5: Solve for x
    x = 9,617,065,842.37/106,031.82
  6. Step 6: Final answer
    x = 90,699.81

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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.