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Finding the Fourth Proportional to 78,395.82, 117,744.99 and 67,176.51

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Solution

The fourth proportional to 78,395.82, 117,744.99 and 67,176.51 is: 100,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,395.82 : 117,744.99 = 67,176.51 : x
  2. Step 2: Convert to fraction form
    78,395.82/117,744.99 = 67,176.51/x
  3. Step 3: Cross multiply
    78,395.82x = 117,744.99 × 67,176.51
  4. Step 4: Simplify right side
    78,395.82x = 7,909,697,498.18
  5. Step 5: Solve for x
    x = 7,909,697,498.18/78,395.82
  6. Step 6: Final answer
    x = 100,894.38

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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.