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Finding the Fourth Proportional to 183,731.48, 275,367.18 and 78,427.16

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Solution

The fourth proportional to 183,731.48, 275,367.18 and 78,427.16 is: 117,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,731.48 : 275,367.18 = 78,427.16 : x
  2. Step 2: Convert to fraction form
    183,731.48/275,367.18 = 78,427.16/x
  3. Step 3: Cross multiply
    183,731.48x = 275,367.18 × 78,427.16
  4. Step 4: Simplify right side
    183,731.48x = 21,596,265,884.61
  5. Step 5: Solve for x
    x = 21,596,265,884.61/183,731.48
  6. Step 6: Final answer
    x = 117,542.55

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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.