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Finding the Fourth Proportional to 138,786, 208,184.76 and 40,290

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Solution

The fourth proportional to 138,786, 208,184.76 and 40,290 is: 60,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,786 : 208,184.76 = 40,290 : x
  2. Step 2: Convert to fraction form
    138,786/208,184.76 = 40,290/x
  3. Step 3: Cross multiply
    138,786x = 208,184.76 × 40,290
  4. Step 4: Simplify right side
    138,786x = 8,387,763,980.40
  5. Step 5: Solve for x
    x = 8,387,763,980.40/138,786
  6. Step 6: Final answer
    x = 60,436.67

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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.