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Finding the Fourth Proportional to 78,166.77, 117,264.74 and 25,579.14

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Solution

The fourth proportional to 78,166.77, 117,264.74 and 25,579.14 is: 38,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,166.77 : 117,264.74 = 25,579.14 : x
  2. Step 2: Convert to fraction form
    78,166.77/117,264.74 = 25,579.14/x
  3. Step 3: Cross multiply
    78,166.77x = 117,264.74 × 25,579.14
  4. Step 4: Simplify right side
    78,166.77x = 2,999,531,073.63
  5. Step 5: Solve for x
    x = 2,999,531,073.63/78,166.77
  6. Step 6: Final answer
    x = 38,373.48

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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.