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Finding the Fourth Proportional to 78,644.34, 117,957.67 and 21,726.33

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Solution

The fourth proportional to 78,644.34, 117,957.67 and 21,726.33 is: 32,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,644.34 : 117,957.67 = 21,726.33 : x
  2. Step 2: Convert to fraction form
    78,644.34/117,957.67 = 21,726.33/x
  3. Step 3: Cross multiply
    78,644.34x = 117,957.67 × 21,726.33
  4. Step 4: Simplify right side
    78,644.34x = 2,562,787,155.82
  5. Step 5: Solve for x
    x = 2,562,787,155.82/78,644.34
  6. Step 6: Final answer
    x = 32,587.05

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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.