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Finding the Fourth Proportional to 78,545.27, 117,828.84 and 25,238.84

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Solution

The fourth proportional to 78,545.27, 117,828.84 and 25,238.84 is: 37,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,545.27 : 117,828.84 = 25,238.84 : x
  2. Step 2: Convert to fraction form
    78,545.27/117,828.84 = 25,238.84/x
  3. Step 3: Cross multiply
    78,545.27x = 117,828.84 × 25,238.84
  4. Step 4: Simplify right side
    78,545.27x = 2,973,863,240.15
  5. Step 5: Solve for x
    x = 2,973,863,240.15/78,545.27
  6. Step 6: Final answer
    x = 37,861.77

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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.