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Finding the Fourth Proportional to 78,518, 108,355.92 and 44,984

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Solution

The fourth proportional to 78,518, 108,355.92 and 44,984 is: 62,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,518 : 108,355.92 = 44,984 : x
  2. Step 2: Convert to fraction form
    78,518/108,355.92 = 44,984/x
  3. Step 3: Cross multiply
    78,518x = 108,355.92 × 44,984
  4. Step 4: Simplify right side
    78,518x = 4,874,282,705.28
  5. Step 5: Solve for x
    x = 4,874,282,705.28/78,518
  6. Step 6: Final answer
    x = 62,078.54

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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.