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Finding the Fourth Proportional to 138,083.51, 206,955.65 and 71,485.67

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Solution

The fourth proportional to 138,083.51, 206,955.65 and 71,485.67 is: 107,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,083.51 : 206,955.65 = 71,485.67 : x
  2. Step 2: Convert to fraction form
    138,083.51/206,955.65 = 71,485.67/x
  3. Step 3: Cross multiply
    138,083.51x = 206,955.65 × 71,485.67
  4. Step 4: Simplify right side
    138,083.51x = 14,794,362,444.47
  5. Step 5: Solve for x
    x = 14,794,362,444.47/138,083.51
  6. Step 6: Final answer
    x = 107,140.69

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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.