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Finding the Fourth Proportional to 138,345.62, 190,920.48 and 77,918.54

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Solution

The fourth proportional to 138,345.62, 190,920.48 and 77,918.54 is: 107,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,345.62 : 190,920.48 = 77,918.54 : x
  2. Step 2: Convert to fraction form
    138,345.62/190,920.48 = 77,918.54/x
  3. Step 3: Cross multiply
    138,345.62x = 190,920.48 × 77,918.54
  4. Step 4: Simplify right side
    138,345.62x = 14,876,245,057.70
  5. Step 5: Solve for x
    x = 14,876,245,057.70/138,345.62
  6. Step 6: Final answer
    x = 107,529.57

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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.