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Finding the Fourth Proportional to 137,900.40, 206,703.45 and 78,608.40

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Solution

The fourth proportional to 137,900.40, 206,703.45 and 78,608.40 is: 117,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,900.40 : 206,703.45 = 78,608.40 : x
  2. Step 2: Convert to fraction form
    137,900.40/206,703.45 = 78,608.40/x
  3. Step 3: Cross multiply
    137,900.40x = 206,703.45 × 78,608.40
  4. Step 4: Simplify right side
    137,900.40x = 16,248,627,478.98
  5. Step 5: Solve for x
    x = 16,248,627,478.98/137,900.40
  6. Step 6: Final answer
    x = 117,828.72

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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.