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Finding the Fourth Proportional to 84,124.99, 126,169.65 and 31,538.35

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Solution

The fourth proportional to 84,124.99, 126,169.65 and 31,538.35 is: 47,300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,124.99 : 126,169.65 = 31,538.35 : x
  2. Step 2: Convert to fraction form
    84,124.99/126,169.65 = 31,538.35/x
  3. Step 3: Cross multiply
    84,124.99x = 126,169.65 × 31,538.35
  4. Step 4: Simplify right side
    84,124.99x = 3,979,182,581.08
  5. Step 5: Solve for x
    x = 3,979,182,581.08/84,124.99
  6. Step 6: Final answer
    x = 47,300.84

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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.