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Finding the Fourth Proportional to 78,463.25, 117,746.72 and 36,913.49

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Solution

The fourth proportional to 78,463.25, 117,746.72 and 36,913.49 is: 55,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,463.25 : 117,746.72 = 36,913.49 : x
  2. Step 2: Convert to fraction form
    78,463.25/117,746.72 = 36,913.49/x
  3. Step 3: Cross multiply
    78,463.25x = 117,746.72 × 36,913.49
  4. Step 4: Simplify right side
    78,463.25x = 4,346,442,186.69
  5. Step 5: Solve for x
    x = 4,346,442,186.69/78,463.25
  6. Step 6: Final answer
    x = 55,394.62

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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.