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Finding the Fourth Proportional to 78,018, 107,684.04 and 44,503.44

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Solution

The fourth proportional to 78,018, 107,684.04 and 44,503.44 is: 61,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,018 : 107,684.04 = 44,503.44 : x
  2. Step 2: Convert to fraction form
    78,018/107,684.04 = 44,503.44/x
  3. Step 3: Cross multiply
    78,018x = 107,684.04 × 44,503.44
  4. Step 4: Simplify right side
    78,018x = 4,792,310,213.10
  5. Step 5: Solve for x
    x = 4,792,310,213.10/78,018
  6. Step 6: Final answer
    x = 61,425.70

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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.