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Finding the Fourth Proportional to 103,729, 143,137.50 and 58,392.50

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Solution

The fourth proportional to 103,729, 143,137.50 and 58,392.50 is: 80,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,729 : 143,137.50 = 58,392.50 : x
  2. Step 2: Convert to fraction form
    103,729/143,137.50 = 58,392.50/x
  3. Step 3: Cross multiply
    103,729x = 143,137.50 × 58,392.50
  4. Step 4: Simplify right side
    103,729x = 8,358,156,468.75
  5. Step 5: Solve for x
    x = 8,358,156,468.75/103,729
  6. Step 6: Final answer
    x = 80,576.85

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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.