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Finding the Fourth Proportional to 138,798, 208,202.76 and 40,302

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Solution

The fourth proportional to 138,798, 208,202.76 and 40,302 is: 60,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,798 : 208,202.76 = 40,302 : x
  2. Step 2: Convert to fraction form
    138,798/208,202.76 = 40,302/x
  3. Step 3: Cross multiply
    138,798x = 208,202.76 × 40,302
  4. Step 4: Simplify right side
    138,798x = 8,390,987,633.52
  5. Step 5: Solve for x
    x = 8,390,987,633.52/138,798
  6. Step 6: Final answer
    x = 60,454.67

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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.