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Finding the Fourth Proportional to 139,968.10, 209,952.15 and 123,346.90

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Solution

The fourth proportional to 139,968.10, 209,952.15 and 123,346.90 is: 185,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968.10 : 209,952.15 = 123,346.90 : x
  2. Step 2: Convert to fraction form
    139,968.10/209,952.15 = 123,346.90/x
  3. Step 3: Cross multiply
    139,968.10x = 209,952.15 × 123,346.90
  4. Step 4: Simplify right side
    139,968.10x = 25,896,946,850.84
  5. Step 5: Solve for x
    x = 25,896,946,850.84/139,968.10
  6. Step 6: Final answer
    x = 185,020.35

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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.