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Finding the Fourth Proportional to 138,473.87, 191,093.69 and 74,811.47

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Solution

The fourth proportional to 138,473.87, 191,093.69 and 74,811.47 is: 103,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,473.87 : 191,093.69 = 74,811.47 : x
  2. Step 2: Convert to fraction form
    138,473.87/191,093.69 = 74,811.47/x
  3. Step 3: Cross multiply
    138,473.87x = 191,093.69 × 74,811.47
  4. Step 4: Simplify right side
    138,473.87x = 14,295,999,088.18
  5. Step 5: Solve for x
    x = 14,295,999,088.18/138,473.87
  6. Step 6: Final answer
    x = 103,239.69

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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.