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Finding the Fourth Proportional to 117,756.72, 176,991.95 and 77,911.61

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Solution

The fourth proportional to 117,756.72, 176,991.95 and 77,911.61 is: 117,103.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,756.72 : 176,991.95 = 77,911.61 : x
  2. Step 2: Convert to fraction form
    117,756.72/176,991.95 = 77,911.61/x
  3. Step 3: Cross multiply
    117,756.72x = 176,991.95 × 77,911.61
  4. Step 4: Simplify right side
    117,756.72x = 13,789,726,507.02
  5. Step 5: Solve for x
    x = 13,789,726,507.02/117,756.72
  6. Step 6: Final answer
    x = 117,103.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.