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Finding the Fourth Proportional to 77,759.16, 107,288.58 and 43,761

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Solution

The fourth proportional to 77,759.16, 107,288.58 and 43,761 is: 60,379.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,759.16 : 107,288.58 = 43,761 : x
  2. Step 2: Convert to fraction form
    77,759.16/107,288.58 = 43,761/x
  3. Step 3: Cross multiply
    77,759.16x = 107,288.58 × 43,761
  4. Step 4: Simplify right side
    77,759.16x = 4,695,055,549.38
  5. Step 5: Solve for x
    x = 4,695,055,549.38/77,759.16
  6. Step 6: Final answer
    x = 60,379.45

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1.5x scale

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.