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Finding the Fourth Proportional to 106,809.72, 160,212.78 and 43,615.92

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Solution

The fourth proportional to 106,809.72, 160,212.78 and 43,615.92 is: 65,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,809.72 : 160,212.78 = 43,615.92 : x
  2. Step 2: Convert to fraction form
    106,809.72/160,212.78 = 43,615.92/x
  3. Step 3: Cross multiply
    106,809.72x = 160,212.78 × 43,615.92
  4. Step 4: Simplify right side
    106,809.72x = 6,987,827,795.46
  5. Step 5: Solve for x
    x = 6,987,827,795.46/106,809.72
  6. Step 6: Final answer
    x = 65,423.14

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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.