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Finding the Fourth Proportional to 84,669.74, 126,978.68 and 58,542.38

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Solution

The fourth proportional to 84,669.74, 126,978.68 and 58,542.38 is: 87,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,669.74 : 126,978.68 = 58,542.38 : x
  2. Step 2: Convert to fraction form
    84,669.74/126,978.68 = 58,542.38/x
  3. Step 3: Cross multiply
    84,669.74x = 126,978.68 × 58,542.38
  4. Step 4: Simplify right side
    84,669.74x = 7,433,634,136.46
  5. Step 5: Solve for x
    x = 7,433,634,136.46/84,669.74
  6. Step 6: Final answer
    x = 87,795.64

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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.