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Finding the Fourth Proportional to 138,788, 208,187.76 and 40,292

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Solution

The fourth proportional to 138,788, 208,187.76 and 40,292 is: 60,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,788 : 208,187.76 = 40,292 : x
  2. Step 2: Convert to fraction form
    138,788/208,187.76 = 40,292/x
  3. Step 3: Cross multiply
    138,788x = 208,187.76 × 40,292
  4. Step 4: Simplify right side
    138,788x = 8,388,301,225.92
  5. Step 5: Solve for x
    x = 8,388,301,225.92/138,788
  6. Step 6: Final answer
    x = 60,439.67

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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.