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Finding the Fourth Proportional to 138,762, 208,177.56 and 40,266

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Solution

The fourth proportional to 138,762, 208,177.56 and 40,266 is: 60,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,762 : 208,177.56 = 40,266 : x
  2. Step 2: Convert to fraction form
    138,762/208,177.56 = 40,266/x
  3. Step 3: Cross multiply
    138,762x = 208,177.56 × 40,266
  4. Step 4: Simplify right side
    138,762x = 8,382,477,630.96
  5. Step 5: Solve for x
    x = 8,382,477,630.96/138,762
  6. Step 6: Final answer
    x = 60,409.03

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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.