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Finding the Fourth Proportional to 135,133.62, 186,483.14 and 74,705.82

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Solution

The fourth proportional to 135,133.62, 186,483.14 and 74,705.82 is: 103,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,133.62 : 186,483.14 = 74,705.82 : x
  2. Step 2: Convert to fraction form
    135,133.62/186,483.14 = 74,705.82/x
  3. Step 3: Cross multiply
    135,133.62x = 186,483.14 × 74,705.82
  4. Step 4: Simplify right side
    135,133.62x = 13,931,375,889.87
  5. Step 5: Solve for x
    x = 13,931,375,889.87/135,133.62
  6. Step 6: Final answer
    x = 103,093.34

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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.