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Finding the Fourth Proportional to 139,616.11, 209,257.71 and 97,266.88

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Solution

The fourth proportional to 139,616.11, 209,257.71 and 97,266.88 is: 145,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,616.11 : 209,257.71 = 97,266.88 : x
  2. Step 2: Convert to fraction form
    139,616.11/209,257.71 = 97,266.88/x
  3. Step 3: Cross multiply
    139,616.11x = 209,257.71 × 97,266.88
  4. Step 4: Simplify right side
    139,616.11x = 20,353,844,567.64
  5. Step 5: Solve for x
    x = 20,353,844,567.64/139,616.11
  6. Step 6: Final answer
    x = 145,784.36

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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.