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Finding the Fourth Proportional to 78,579.84, 117,865.92 and 29,328

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Solution

The fourth proportional to 78,579.84, 117,865.92 and 29,328 is: 43,990.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,579.84 : 117,865.92 = 29,328 : x
  2. Step 2: Convert to fraction form
    78,579.84/117,865.92 = 29,328/x
  3. Step 3: Cross multiply
    78,579.84x = 117,865.92 × 29,328
  4. Step 4: Simplify right side
    78,579.84x = 3,456,771,701.76
  5. Step 5: Solve for x
    x = 3,456,771,701.76/78,579.84
  6. Step 6: Final answer
    x = 43,990.57

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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.