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Finding the Fourth Proportional to 138,047.24, 207,040.08 and 53,809.67

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Solution

The fourth proportional to 138,047.24, 207,040.08 and 53,809.67 is: 80,702.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,047.24 : 207,040.08 = 53,809.67 : x
  2. Step 2: Convert to fraction form
    138,047.24/207,040.08 = 53,809.67/x
  3. Step 3: Cross multiply
    138,047.24x = 207,040.08 × 53,809.67
  4. Step 4: Simplify right side
    138,047.24x = 11,140,758,381.57
  5. Step 5: Solve for x
    x = 11,140,758,381.57/138,047.24
  6. Step 6: Final answer
    x = 80,702.51

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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.