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Finding the Fourth Proportional to 78,236.16, 107,964 and 44,700

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Solution

The fourth proportional to 78,236.16, 107,964 and 44,700 is: 61,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,236.16 : 107,964 = 44,700 : x
  2. Step 2: Convert to fraction form
    78,236.16/107,964 = 44,700/x
  3. Step 3: Cross multiply
    78,236.16x = 107,964 × 44,700
  4. Step 4: Simplify right side
    78,236.16x = 4,825,990,800
  5. Step 5: Solve for x
    x = 4,825,990,800/78,236.16
  6. Step 6: Final answer
    x = 61,684.91

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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.