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Finding the Fourth Proportional to 77,756.41, 116,410.87 and 69,642.81

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Solution

The fourth proportional to 77,756.41, 116,410.87 and 69,642.81 is: 104,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,756.41 : 116,410.87 = 69,642.81 : x
  2. Step 2: Convert to fraction form
    77,756.41/116,410.87 = 69,642.81/x
  3. Step 3: Cross multiply
    77,756.41x = 116,410.87 × 69,642.81
  4. Step 4: Simplify right side
    77,756.41x = 8,107,179,490.70
  5. Step 5: Solve for x
    x = 8,107,179,490.70/77,756.41
  6. Step 6: Final answer
    x = 104,263.81

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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.