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Finding the Fourth Proportional to 78,616.68, 117,973.36 and 31,223.48

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Solution

The fourth proportional to 78,616.68, 117,973.36 and 31,223.48 is: 46,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,616.68 : 117,973.36 = 31,223.48 : x
  2. Step 2: Convert to fraction form
    78,616.68/117,973.36 = 31,223.48/x
  3. Step 3: Cross multiply
    78,616.68x = 117,973.36 × 31,223.48
  4. Step 4: Simplify right side
    78,616.68x = 3,683,538,295.66
  5. Step 5: Solve for x
    x = 3,683,538,295.66/78,616.68
  6. Step 6: Final answer
    x = 46,854.41

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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.