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Finding the Fourth Proportional to 142,807.68, 214,136.64 and 49,291.20

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Solution

The fourth proportional to 142,807.68, 214,136.64 and 49,291.20 is: 73,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,807.68 : 214,136.64 = 49,291.20 : x
  2. Step 2: Convert to fraction form
    142,807.68/214,136.64 = 49,291.20/x
  3. Step 3: Cross multiply
    142,807.68x = 214,136.64 × 49,291.20
  4. Step 4: Simplify right side
    142,807.68x = 10,555,051,949.57
  5. Step 5: Solve for x
    x = 10,555,051,949.57/142,807.68
  6. Step 6: Final answer
    x = 73,910.95

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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.