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Finding the Fourth Proportional to 139,889.32, 209,885.86 and 65,049.64

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Solution

The fourth proportional to 139,889.32, 209,885.86 and 65,049.64 is: 97,598.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,889.32 : 209,885.86 = 65,049.64 : x
  2. Step 2: Convert to fraction form
    139,889.32/209,885.86 = 65,049.64/x
  3. Step 3: Cross multiply
    139,889.32x = 209,885.86 × 65,049.64
  4. Step 4: Simplify right side
    139,889.32x = 13,652,999,634.09
  5. Step 5: Solve for x
    x = 13,652,999,634.09/139,889.32
  6. Step 6: Final answer
    x = 97,598.58

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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.