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Finding the Fourth Proportional to 139,197.76, 208,728.60 and 97,098.01

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Solution

The fourth proportional to 139,197.76, 208,728.60 and 97,098.01 is: 145,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,197.76 : 208,728.60 = 97,098.01 : x
  2. Step 2: Convert to fraction form
    139,197.76/208,728.60 = 97,098.01/x
  3. Step 3: Cross multiply
    139,197.76x = 208,728.60 × 97,098.01
  4. Step 4: Simplify right side
    139,197.76x = 20,267,131,690.09
  5. Step 5: Solve for x
    x = 20,267,131,690.09/139,197.76
  6. Step 6: Final answer
    x = 145,599.55

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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.