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Finding the Fourth Proportional to 138,907.49, 191,691.70 and 75,245.45

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Solution

The fourth proportional to 138,907.49, 191,691.70 and 75,245.45 is: 103,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,907.49 : 191,691.70 = 75,245.45 : x
  2. Step 2: Convert to fraction form
    138,907.49/191,691.70 = 75,245.45/x
  3. Step 3: Cross multiply
    138,907.49x = 191,691.70 × 75,245.45
  4. Step 4: Simplify right side
    138,907.49x = 14,423,927,081.19
  5. Step 5: Solve for x
    x = 14,423,927,081.19/138,907.49
  6. Step 6: Final answer
    x = 103,838.37

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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.