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Finding the Fourth Proportional to 139,132.80, 208,695.72 and 76,014.24

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Solution

The fourth proportional to 139,132.80, 208,695.72 and 76,014.24 is: 114,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,132.80 : 208,695.72 = 76,014.24 : x
  2. Step 2: Convert to fraction form
    139,132.80/208,695.72 = 76,014.24/x
  3. Step 3: Cross multiply
    139,132.80x = 208,695.72 × 76,014.24
  4. Step 4: Simplify right side
    139,132.80x = 15,863,846,547.05
  5. Step 5: Solve for x
    x = 15,863,846,547.05/139,132.80
  6. Step 6: Final answer
    x = 114,019.46

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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.