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Finding the Fourth Proportional to 210,374.62, 315,654.40 and 110,511.61

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Solution

The fourth proportional to 210,374.62, 315,654.40 and 110,511.61 is: 165,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,374.62 : 315,654.40 = 110,511.61 : x
  2. Step 2: Convert to fraction form
    210,374.62/315,654.40 = 110,511.61/x
  3. Step 3: Cross multiply
    210,374.62x = 315,654.40 × 110,511.61
  4. Step 4: Simplify right side
    210,374.62x = 34,883,475,947.58
  5. Step 5: Solve for x
    x = 34,883,475,947.58/210,374.62
  6. Step 6: Final answer
    x = 165,815.99

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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.