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Finding the Fourth Proportional to 139,829.52, 209,698.11 and 55,610.58

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Solution

The fourth proportional to 139,829.52, 209,698.11 and 55,610.58 is: 83,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,829.52 : 209,698.11 = 55,610.58 : x
  2. Step 2: Convert to fraction form
    139,829.52/209,698.11 = 55,610.58/x
  3. Step 3: Cross multiply
    139,829.52x = 209,698.11 × 55,610.58
  4. Step 4: Simplify right side
    139,829.52x = 11,661,433,522.00
  5. Step 5: Solve for x
    x = 11,661,433,522.00/139,829.52
  6. Step 6: Final answer
    x = 83,397.51

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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.