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Finding the Fourth Proportional to 52,704.99, 78,862.77 and 31,657.80

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Solution

The fourth proportional to 52,704.99, 78,862.77 and 31,657.80 is: 47,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,704.99 : 78,862.77 = 31,657.80 : x
  2. Step 2: Convert to fraction form
    52,704.99/78,862.77 = 31,657.80/x
  3. Step 3: Cross multiply
    52,704.99x = 78,862.77 × 31,657.80
  4. Step 4: Simplify right side
    52,704.99x = 2,496,621,800.11
  5. Step 5: Solve for x
    x = 2,496,621,800.11/52,704.99
  6. Step 6: Final answer
    x = 47,369.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.