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Finding the Fourth Proportional to 78,307, 108,063.78 and 44,773.72

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Solution

The fourth proportional to 78,307, 108,063.78 and 44,773.72 is: 61,787.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,307 : 108,063.78 = 44,773.72 : x
  2. Step 2: Convert to fraction form
    78,307/108,063.78 = 44,773.72/x
  3. Step 3: Cross multiply
    78,307x = 108,063.78 × 44,773.72
  4. Step 4: Simplify right side
    78,307x = 4,838,417,427.86
  5. Step 5: Solve for x
    x = 4,838,417,427.86/78,307
  6. Step 6: Final answer
    x = 61,787.80

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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.