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Finding the Fourth Proportional to 139,675.56, 192,743.84 and 78,417.24

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Solution

The fourth proportional to 139,675.56, 192,743.84 and 78,417.24 is: 108,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,675.56 : 192,743.84 = 78,417.24 : x
  2. Step 2: Convert to fraction form
    139,675.56/192,743.84 = 78,417.24/x
  3. Step 3: Cross multiply
    139,675.56x = 192,743.84 × 78,417.24
  4. Step 4: Simplify right side
    139,675.56x = 15,114,439,959.80
  5. Step 5: Solve for x
    x = 15,114,439,959.80/139,675.56
  6. Step 6: Final answer
    x = 108,211.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.