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Finding the Fourth Proportional to 103,616, 142,990.08 and 58,912.64

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Solution

The fourth proportional to 103,616, 142,990.08 and 58,912.64 is: 81,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 142,990.08 = 58,912.64 : x
  2. Step 2: Convert to fraction form
    103,616/142,990.08 = 58,912.64/x
  3. Step 3: Cross multiply
    103,616x = 142,990.08 × 58,912.64
  4. Step 4: Simplify right side
    103,616x = 8,423,923,106.61
  5. Step 5: Solve for x
    x = 8,423,923,106.61/103,616
  6. Step 6: Final answer
    x = 81,299.44

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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.