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Finding the Fourth Proportional to 137,437.50, 206,180.86 and 70,859.76

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Solution

The fourth proportional to 137,437.50, 206,180.86 and 70,859.76 is: 106,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,437.50 : 206,180.86 = 70,859.76 : x
  2. Step 2: Convert to fraction form
    137,437.50/206,180.86 = 70,859.76/x
  3. Step 3: Cross multiply
    137,437.50x = 206,180.86 × 70,859.76
  4. Step 4: Simplify right side
    137,437.50x = 14,609,926,256.19
  5. Step 5: Solve for x
    x = 14,609,926,256.19/137,437.50
  6. Step 6: Final answer
    x = 106,302.33

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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.