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Finding the Fourth Proportional to 138,784, 208,181.76 and 40,288

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Solution

The fourth proportional to 138,784, 208,181.76 and 40,288 is: 60,433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,784 : 208,181.76 = 40,288 : x
  2. Step 2: Convert to fraction form
    138,784/208,181.76 = 40,288/x
  3. Step 3: Cross multiply
    138,784x = 208,181.76 × 40,288
  4. Step 4: Simplify right side
    138,784x = 8,387,226,746.88
  5. Step 5: Solve for x
    x = 8,387,226,746.88/138,784
  6. Step 6: Final answer
    x = 60,433.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.