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Finding the Fourth Proportional to 137,288.70, 205,714.35 and 101,859.30

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Solution

The fourth proportional to 137,288.70, 205,714.35 and 101,859.30 is: 152,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,288.70 : 205,714.35 = 101,859.30 : x
  2. Step 2: Convert to fraction form
    137,288.70/205,714.35 = 101,859.30/x
  3. Step 3: Cross multiply
    137,288.70x = 205,714.35 × 101,859.30
  4. Step 4: Simplify right side
    137,288.70x = 20,953,919,690.96
  5. Step 5: Solve for x
    x = 20,953,919,690.96/137,288.70
  6. Step 6: Final answer
    x = 152,626.69

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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.