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Finding the Fourth Proportional to 138,378.92, 207,568.58 and 38,539.40

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Solution

The fourth proportional to 138,378.92, 207,568.58 and 38,539.40 is: 57,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,378.92 : 207,568.58 = 38,539.40 : x
  2. Step 2: Convert to fraction form
    138,378.92/207,568.58 = 38,539.40/x
  3. Step 3: Cross multiply
    138,378.92x = 207,568.58 × 38,539.40
  4. Step 4: Simplify right side
    138,378.92x = 7,999,567,301.51
  5. Step 5: Solve for x
    x = 7,999,567,301.51/138,378.92
  6. Step 6: Final answer
    x = 57,809.15

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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.