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Finding the Fourth Proportional to 139,672.95, 209,342.75 and 97,323.63

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Solution

The fourth proportional to 139,672.95, 209,342.75 and 97,323.63 is: 145,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,672.95 : 209,342.75 = 97,323.63 : x
  2. Step 2: Convert to fraction form
    139,672.95/209,342.75 = 97,323.63/x
  3. Step 3: Cross multiply
    139,672.95x = 209,342.75 × 97,323.63
  4. Step 4: Simplify right side
    139,672.95x = 20,373,995,857.56
  5. Step 5: Solve for x
    x = 20,373,995,857.56/139,672.95
  6. Step 6: Final answer
    x = 145,869.30

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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.