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Finding the Fourth Proportional to 76,310.55, 105,315.22 and 44,478.77

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Solution

The fourth proportional to 76,310.55, 105,315.22 and 44,478.77 is: 61,384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,310.55 : 105,315.22 = 44,478.77 : x
  2. Step 2: Convert to fraction form
    76,310.55/105,315.22 = 44,478.77/x
  3. Step 3: Cross multiply
    76,310.55x = 105,315.22 × 44,478.77
  4. Step 4: Simplify right side
    76,310.55x = 4,684,291,447.88
  5. Step 5: Solve for x
    x = 4,684,291,447.88/76,310.55
  6. Step 6: Final answer
    x = 61,384.59

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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.