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Finding the Fourth Proportional to 139,140, 208,744.56 and 40,644

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Solution

The fourth proportional to 139,140, 208,744.56 and 40,644 is: 60,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,140 : 208,744.56 = 40,644 : x
  2. Step 2: Convert to fraction form
    139,140/208,744.56 = 40,644/x
  3. Step 3: Cross multiply
    139,140x = 208,744.56 × 40,644
  4. Step 4: Simplify right side
    139,140x = 8,484,213,896.64
  5. Step 5: Solve for x
    x = 8,484,213,896.64/139,140
  6. Step 6: Final answer
    x = 60,976.10

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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.