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Finding the Fourth Proportional to 137,103.80, 205,655.70 and 128,246.45

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Solution

The fourth proportional to 137,103.80, 205,655.70 and 128,246.45 is: 192,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,103.80 : 205,655.70 = 128,246.45 : x
  2. Step 2: Convert to fraction form
    137,103.80/205,655.70 = 128,246.45/x
  3. Step 3: Cross multiply
    137,103.80x = 205,655.70 × 128,246.45
  4. Step 4: Simplify right side
    137,103.80x = 26,374,613,447.27
  5. Step 5: Solve for x
    x = 26,374,613,447.27/137,103.80
  6. Step 6: Final answer
    x = 192,369.68

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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.