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Finding the Fourth Proportional to 106,406.65, 146,848.46 and 65,031.43

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Solution

The fourth proportional to 106,406.65, 146,848.46 and 65,031.43 is: 89,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,406.65 : 146,848.46 = 65,031.43 : x
  2. Step 2: Convert to fraction form
    106,406.65/146,848.46 = 65,031.43/x
  3. Step 3: Cross multiply
    106,406.65x = 146,848.46 × 65,031.43
  4. Step 4: Simplify right side
    106,406.65x = 9,549,765,252.07
  5. Step 5: Solve for x
    x = 9,549,765,252.07/106,406.65
  6. Step 6: Final answer
    x = 89,747.83

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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.