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Finding the Fourth Proportional to 84,107.55, 126,049.24 and 39,746.08

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Solution

The fourth proportional to 84,107.55, 126,049.24 and 39,746.08 is: 59,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,107.55 : 126,049.24 = 39,746.08 : x
  2. Step 2: Convert to fraction form
    84,107.55/126,049.24 = 39,746.08/x
  3. Step 3: Cross multiply
    84,107.55x = 126,049.24 × 39,746.08
  4. Step 4: Simplify right side
    84,107.55x = 5,009,963,176.98
  5. Step 5: Solve for x
    x = 5,009,963,176.98/84,107.55
  6. Step 6: Final answer
    x = 59,566.15

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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.