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Finding the Fourth Proportional to 77,136.36, 115,384.64 and 72,412.44

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Solution

The fourth proportional to 77,136.36, 115,384.64 and 72,412.44 is: 108,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136.36 : 115,384.64 = 72,412.44 : x
  2. Step 2: Convert to fraction form
    77,136.36/115,384.64 = 72,412.44/x
  3. Step 3: Cross multiply
    77,136.36x = 115,384.64 × 72,412.44
  4. Step 4: Simplify right side
    77,136.36x = 8,355,283,320.92
  5. Step 5: Solve for x
    x = 8,355,283,320.92/77,136.36
  6. Step 6: Final answer
    x = 108,318.35

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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.