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Finding the Fourth Proportional to 77,757.30, 116,029.32 and 69,379.74

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Solution

The fourth proportional to 77,757.30, 116,029.32 and 69,379.74 is: 103,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,757.30 : 116,029.32 = 69,379.74 : x
  2. Step 2: Convert to fraction form
    77,757.30/116,029.32 = 69,379.74/x
  3. Step 3: Cross multiply
    77,757.30x = 116,029.32 × 69,379.74
  4. Step 4: Simplify right side
    77,757.30x = 8,050,084,053.98
  5. Step 5: Solve for x
    x = 8,050,084,053.98/77,757.30
  6. Step 6: Final answer
    x = 103,528.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.