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Finding the Fourth Proportional to 230,485, 345,727.50 and 55,381

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Solution

The fourth proportional to 230,485, 345,727.50 and 55,381 is: 83,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,485 : 345,727.50 = 55,381 : x
  2. Step 2: Convert to fraction form
    230,485/345,727.50 = 55,381/x
  3. Step 3: Cross multiply
    230,485x = 345,727.50 × 55,381
  4. Step 4: Simplify right side
    230,485x = 19,146,734,677.50
  5. Step 5: Solve for x
    x = 19,146,734,677.50/230,485
  6. Step 6: Final answer
    x = 83,071.50

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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.