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Finding the Fourth Proportional to 78,588.48, 117,881.56 and 19,424.15

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Solution

The fourth proportional to 78,588.48, 117,881.56 and 19,424.15 is: 29,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,588.48 : 117,881.56 = 19,424.15 : x
  2. Step 2: Convert to fraction form
    78,588.48/117,881.56 = 19,424.15/x
  3. Step 3: Cross multiply
    78,588.48x = 117,881.56 × 19,424.15
  4. Step 4: Simplify right side
    78,588.48x = 2,289,749,103.67
  5. Step 5: Solve for x
    x = 2,289,749,103.67/78,588.48
  6. Step 6: Final answer
    x = 29,135.94

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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.