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Finding the Fourth Proportional to 78,137.76, 107,829.72 and 44,603.76

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Solution

The fourth proportional to 78,137.76, 107,829.72 and 44,603.76 is: 61,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.76 : 107,829.72 = 44,603.76 : x
  2. Step 2: Convert to fraction form
    78,137.76/107,829.72 = 44,603.76/x
  3. Step 3: Cross multiply
    78,137.76x = 107,829.72 × 44,603.76
  4. Step 4: Simplify right side
    78,137.76x = 4,809,610,951.75
  5. Step 5: Solve for x
    x = 4,809,610,951.75/78,137.76
  6. Step 6: Final answer
    x = 61,552.97

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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.