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Finding the Fourth Proportional to 135,348.66, 186,778.47 and 74,915.77

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Solution

The fourth proportional to 135,348.66, 186,778.47 and 74,915.77 is: 103,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,348.66 : 186,778.47 = 74,915.77 : x
  2. Step 2: Convert to fraction form
    135,348.66/186,778.47 = 74,915.77/x
  3. Step 3: Cross multiply
    135,348.66x = 186,778.47 × 74,915.77
  4. Step 4: Simplify right side
    135,348.66x = 13,992,652,899.47
  5. Step 5: Solve for x
    x = 13,992,652,899.47/135,348.66
  6. Step 6: Final answer
    x = 103,382.28

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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.