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Finding the Fourth Proportional to 71,847.47, 107,866.59 and 61,384.70

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Solution

The fourth proportional to 71,847.47, 107,866.59 and 61,384.70 is: 92,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,847.47 : 107,866.59 = 61,384.70 : x
  2. Step 2: Convert to fraction form
    71,847.47/107,866.59 = 61,384.70/x
  3. Step 3: Cross multiply
    71,847.47x = 107,866.59 × 61,384.70
  4. Step 4: Simplify right side
    71,847.47x = 6,621,357,727.84
  5. Step 5: Solve for x
    x = 6,621,357,727.84/71,847.47
  6. Step 6: Final answer
    x = 92,158.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.