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Finding the Fourth Proportional to 131,355.64, 181,270.98 and 74,767

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Solution

The fourth proportional to 131,355.64, 181,270.98 and 74,767 is: 103,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,355.64 : 181,270.98 = 74,767 : x
  2. Step 2: Convert to fraction form
    131,355.64/181,270.98 = 74,767/x
  3. Step 3: Cross multiply
    131,355.64x = 181,270.98 × 74,767
  4. Step 4: Simplify right side
    131,355.64x = 13,553,087,361.66
  5. Step 5: Solve for x
    x = 13,553,087,361.66/131,355.64
  6. Step 6: Final answer
    x = 103,178.57

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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.