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Finding the Fourth Proportional to 137,178.74, 205,776.14 and 52,939.34

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Solution

The fourth proportional to 137,178.74, 205,776.14 and 52,939.34 is: 79,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178.74 : 205,776.14 = 52,939.34 : x
  2. Step 2: Convert to fraction form
    137,178.74/205,776.14 = 52,939.34/x
  3. Step 3: Cross multiply
    137,178.74x = 205,776.14 × 52,939.34
  4. Step 4: Simplify right side
    137,178.74x = 10,893,653,039.35
  5. Step 5: Solve for x
    x = 10,893,653,039.35/137,178.74
  6. Step 6: Final answer
    x = 79,412.11

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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.