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Finding the Fourth Proportional to 137,866.29, 206,820.45 and 70,361.46

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Solution

The fourth proportional to 137,866.29, 206,820.45 and 70,361.46 is: 105,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,866.29 : 206,820.45 = 70,361.46 : x
  2. Step 2: Convert to fraction form
    137,866.29/206,820.45 = 70,361.46/x
  3. Step 3: Cross multiply
    137,866.29x = 206,820.45 × 70,361.46
  4. Step 4: Simplify right side
    137,866.29x = 14,552,188,819.86
  5. Step 5: Solve for x
    x = 14,552,188,819.86/137,866.29
  6. Step 6: Final answer
    x = 105,552.92

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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.