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Finding the Fourth Proportional to 76,809, 106,001.78 and 43,275.08

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Solution

The fourth proportional to 76,809, 106,001.78 and 43,275.08 is: 59,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,809 : 106,001.78 = 43,275.08 : x
  2. Step 2: Convert to fraction form
    76,809/106,001.78 = 43,275.08/x
  3. Step 3: Cross multiply
    76,809x = 106,001.78 × 43,275.08
  4. Step 4: Simplify right side
    76,809x = 4,587,235,509.64
  5. Step 5: Solve for x
    x = 4,587,235,509.64/76,809
  6. Step 6: Final answer
    x = 59,722.63

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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.