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Finding the Fourth Proportional to 77,578.96, 107,099.80 and 52,218.64

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Solution

The fourth proportional to 77,578.96, 107,099.80 and 52,218.64 is: 72,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,578.96 : 107,099.80 = 52,218.64 : x
  2. Step 2: Convert to fraction form
    77,578.96/107,099.80 = 52,218.64/x
  3. Step 3: Cross multiply
    77,578.96x = 107,099.80 × 52,218.64
  4. Step 4: Simplify right side
    77,578.96x = 5,592,605,900.27
  5. Step 5: Solve for x
    x = 5,592,605,900.27/77,578.96
  6. Step 6: Final answer
    x = 72,089.21

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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.