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Finding the Fourth Proportional to 76,992.74, 106,239.48 and 42,996.90

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Solution

The fourth proportional to 76,992.74, 106,239.48 and 42,996.90 is: 59,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992.74 : 106,239.48 = 42,996.90 : x
  2. Step 2: Convert to fraction form
    76,992.74/106,239.48 = 42,996.90/x
  3. Step 3: Cross multiply
    76,992.74x = 106,239.48 × 42,996.90
  4. Step 4: Simplify right side
    76,992.74x = 4,567,968,060.45
  5. Step 5: Solve for x
    x = 4,567,968,060.45/76,992.74
  6. Step 6: Final answer
    x = 59,329.85

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1.5x scale

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.