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Finding the Fourth Proportional to 137,234.36, 205,746.01 and 69,710.91

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Solution

The fourth proportional to 137,234.36, 205,746.01 and 69,710.91 is: 104,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,234.36 : 205,746.01 = 69,710.91 : x
  2. Step 2: Convert to fraction form
    137,234.36/205,746.01 = 69,710.91/x
  3. Step 3: Cross multiply
    137,234.36x = 205,746.01 × 69,710.91
  4. Step 4: Simplify right side
    137,234.36x = 14,342,741,237.41
  5. Step 5: Solve for x
    x = 14,342,741,237.41/137,234.36
  6. Step 6: Final answer
    x = 104,512.76

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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.