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Finding the Fourth Proportional to 117,707.85, 162,472.01 and 77,452.65

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Solution

The fourth proportional to 117,707.85, 162,472.01 and 77,452.65 is: 106,907.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,707.85 : 162,472.01 = 77,452.65 : x
  2. Step 2: Convert to fraction form
    117,707.85/162,472.01 = 77,452.65/x
  3. Step 3: Cross multiply
    117,707.85x = 162,472.01 × 77,452.65
  4. Step 4: Simplify right side
    117,707.85x = 12,583,887,338.06
  5. Step 5: Solve for x
    x = 12,583,887,338.06/117,707.85
  6. Step 6: Final answer
    x = 106,907.80

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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.