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Finding the Fourth Proportional to 77,589.72, 107,065.50 and 52,090.92

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Solution

The fourth proportional to 77,589.72, 107,065.50 and 52,090.92 is: 71,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,589.72 : 107,065.50 = 52,090.92 : x
  2. Step 2: Convert to fraction form
    77,589.72/107,065.50 = 52,090.92/x
  3. Step 3: Cross multiply
    77,589.72x = 107,065.50 × 52,090.92
  4. Step 4: Simplify right side
    77,589.72x = 5,577,140,395.26
  5. Step 5: Solve for x
    x = 5,577,140,395.26/77,589.72
  6. Step 6: Final answer
    x = 71,879.89

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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.