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Finding the Fourth Proportional to 230,135.50, 317,423.37 and 153,616

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Solution

The fourth proportional to 230,135.50, 317,423.37 and 153,616 is: 211,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,135.50 : 317,423.37 = 153,616 : x
  2. Step 2: Convert to fraction form
    230,135.50/317,423.37 = 153,616/x
  3. Step 3: Cross multiply
    230,135.50x = 317,423.37 × 153,616
  4. Step 4: Simplify right side
    230,135.50x = 48,761,308,405.92
  5. Step 5: Solve for x
    x = 48,761,308,405.92/230,135.50
  6. Step 6: Final answer
    x = 211,880.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.