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Finding the Fourth Proportional to 137,763.12, 206,447.34 and 78,476.37

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Solution

The fourth proportional to 137,763.12, 206,447.34 and 78,476.37 is: 117,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,763.12 : 206,447.34 = 78,476.37 : x
  2. Step 2: Convert to fraction form
    137,763.12/206,447.34 = 78,476.37/x
  3. Step 3: Cross multiply
    137,763.12x = 206,447.34 × 78,476.37
  4. Step 4: Simplify right side
    137,763.12x = 16,201,237,839.36
  5. Step 5: Solve for x
    x = 16,201,237,839.36/137,763.12
  6. Step 6: Final answer
    x = 117,602.14

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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.