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Finding the Fourth Proportional to 230,513, 345,769.50 and 74,865

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Solution

The fourth proportional to 230,513, 345,769.50 and 74,865 is: 112,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,513 : 345,769.50 = 74,865 : x
  2. Step 2: Convert to fraction form
    230,513/345,769.50 = 74,865/x
  3. Step 3: Cross multiply
    230,513x = 345,769.50 × 74,865
  4. Step 4: Simplify right side
    230,513x = 25,886,033,617.50
  5. Step 5: Solve for x
    x = 25,886,033,617.50/230,513
  6. Step 6: Final answer
    x = 112,297.50

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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.