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Finding the Fourth Proportional to 135,053.78, 186,376.19 and 74,625.82

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Solution

The fourth proportional to 135,053.78, 186,376.19 and 74,625.82 is: 102,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,053.78 : 186,376.19 = 74,625.82 : x
  2. Step 2: Convert to fraction form
    135,053.78/186,376.19 = 74,625.82/x
  3. Step 3: Cross multiply
    135,053.78x = 186,376.19 × 74,625.82
  4. Step 4: Simplify right side
    135,053.78x = 13,908,475,168.16
  5. Step 5: Solve for x
    x = 13,908,475,168.16/135,053.78
  6. Step 6: Final answer
    x = 102,984.72

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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.