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Finding the Fourth Proportional to 78,649.85, 117,876.26 and 61,943.91

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Solution

The fourth proportional to 78,649.85, 117,876.26 and 61,943.91 is: 92,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.85 : 117,876.26 = 61,943.91 : x
  2. Step 2: Convert to fraction form
    78,649.85/117,876.26 = 61,943.91/x
  3. Step 3: Cross multiply
    78,649.85x = 117,876.26 × 61,943.91
  4. Step 4: Simplify right side
    78,649.85x = 7,301,716,153.40
  5. Step 5: Solve for x
    x = 7,301,716,153.40/78,649.85
  6. Step 6: Final answer
    x = 92,838.27

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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.