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Finding the Fourth Proportional to 115,953.77, 159,929.15 and 77,756.60

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Solution

The fourth proportional to 115,953.77, 159,929.15 and 77,756.60 is: 107,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,953.77 : 159,929.15 = 77,756.60 : x
  2. Step 2: Convert to fraction form
    115,953.77/159,929.15 = 77,756.60/x
  3. Step 3: Cross multiply
    115,953.77x = 159,929.15 × 77,756.60
  4. Step 4: Simplify right side
    115,953.77x = 12,435,546,556.11
  5. Step 5: Solve for x
    x = 12,435,546,556.11/115,953.77
  6. Step 6: Final answer
    x = 107,245.73

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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.