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Finding the Fourth Proportional to 78,649.62, 117,986.48 and 26,071.44

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Solution

The fourth proportional to 78,649.62, 117,986.48 and 26,071.44 is: 39,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.62 : 117,986.48 = 26,071.44 : x
  2. Step 2: Convert to fraction form
    78,649.62/117,986.48 = 26,071.44/x
  3. Step 3: Cross multiply
    78,649.62x = 117,986.48 × 26,071.44
  4. Step 4: Simplify right side
    78,649.62x = 3,076,077,434.13
  5. Step 5: Solve for x
    x = 3,076,077,434.13/78,649.62
  6. Step 6: Final answer
    x = 39,111.15

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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.