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Finding the Fourth Proportional to 101,898.70, 152,848.05 and 82,215.70

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Solution

The fourth proportional to 101,898.70, 152,848.05 and 82,215.70 is: 123,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,898.70 : 152,848.05 = 82,215.70 : x
  2. Step 2: Convert to fraction form
    101,898.70/152,848.05 = 82,215.70/x
  3. Step 3: Cross multiply
    101,898.70x = 152,848.05 × 82,215.70
  4. Step 4: Simplify right side
    101,898.70x = 12,566,509,424.39
  5. Step 5: Solve for x
    x = 12,566,509,424.39/101,898.70
  6. Step 6: Final answer
    x = 123,323.55

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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.