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Finding the Fourth Proportional to 76,992.80, 106,246.69 and 43,005.20

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Solution

The fourth proportional to 76,992.80, 106,246.69 and 43,005.20 is: 59,345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992.80 : 106,246.69 = 43,005.20 : x
  2. Step 2: Convert to fraction form
    76,992.80/106,246.69 = 43,005.20/x
  3. Step 3: Cross multiply
    76,992.80x = 106,246.69 × 43,005.20
  4. Step 4: Simplify right side
    76,992.80x = 4,569,159,514.04
  5. Step 5: Solve for x
    x = 4,569,159,514.04/76,992.80
  6. Step 6: Final answer
    x = 59,345.29

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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.