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Finding the Fourth Proportional to 131,293, 181,184.34 and 74,737

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Solution

The fourth proportional to 131,293, 181,184.34 and 74,737 is: 103,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,293 : 181,184.34 = 74,737 : x
  2. Step 2: Convert to fraction form
    131,293/181,184.34 = 74,737/x
  3. Step 3: Cross multiply
    131,293x = 181,184.34 × 74,737
  4. Step 4: Simplify right side
    131,293x = 13,541,174,018.58
  5. Step 5: Solve for x
    x = 13,541,174,018.58/131,293
  6. Step 6: Final answer
    x = 103,137.06

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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.