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Finding the Fourth Proportional to 77,136, 115,659.72 and 30,363.36

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Solution

The fourth proportional to 77,136, 115,659.72 and 30,363.36 is: 45,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136 : 115,659.72 = 30,363.36 : x
  2. Step 2: Convert to fraction form
    77,136/115,659.72 = 30,363.36/x
  3. Step 3: Cross multiply
    77,136x = 115,659.72 × 30,363.36
  4. Step 4: Simplify right side
    77,136x = 3,511,817,715.86
  5. Step 5: Solve for x
    x = 3,511,817,715.86/77,136
  6. Step 6: Final answer
    x = 45,527.61

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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.