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Finding the Fourth Proportional to 131,294, 181,185.72 and 74,738

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Solution

The fourth proportional to 131,294, 181,185.72 and 74,738 is: 103,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,294 : 181,185.72 = 74,738 : x
  2. Step 2: Convert to fraction form
    131,294/181,185.72 = 74,738/x
  3. Step 3: Cross multiply
    131,294x = 181,185.72 × 74,738
  4. Step 4: Simplify right side
    131,294x = 13,541,458,341.36
  5. Step 5: Solve for x
    x = 13,541,458,341.36/131,294
  6. Step 6: Final answer
    x = 103,138.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.