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Finding the Fourth Proportional to 253,706.38, 380,602.80 and 87,455.50

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Solution

The fourth proportional to 253,706.38, 380,602.80 and 87,455.50 is: 131,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,706.38 : 380,602.80 = 87,455.50 : x
  2. Step 2: Convert to fraction form
    253,706.38/380,602.80 = 87,455.50/x
  3. Step 3: Cross multiply
    253,706.38x = 380,602.80 × 87,455.50
  4. Step 4: Simplify right side
    253,706.38x = 33,285,808,175.40
  5. Step 5: Solve for x
    x = 33,285,808,175.40/253,706.38
  6. Step 6: Final answer
    x = 131,198.15

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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.