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Finding the Fourth Proportional to 199,494.99, 275,403.45 and 126,970.86

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Solution

The fourth proportional to 199,494.99, 275,403.45 and 126,970.86 is: 175,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,494.99 : 275,403.45 = 126,970.86 : x
  2. Step 2: Convert to fraction form
    199,494.99/275,403.45 = 126,970.86/x
  3. Step 3: Cross multiply
    199,494.99x = 275,403.45 × 126,970.86
  4. Step 4: Simplify right side
    199,494.99x = 34,968,212,893.47
  5. Step 5: Solve for x
    x = 34,968,212,893.47/199,494.99
  6. Step 6: Final answer
    x = 175,283.66

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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.