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Finding the Fourth Proportional to 155,857.91, 233,786.86 and 71,688.87

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Solution

The fourth proportional to 155,857.91, 233,786.86 and 71,688.87 is: 107,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,857.91 : 233,786.86 = 71,688.87 : x
  2. Step 2: Convert to fraction form
    155,857.91/233,786.86 = 71,688.87/x
  3. Step 3: Cross multiply
    155,857.91x = 233,786.86 × 71,688.87
  4. Step 4: Simplify right side
    155,857.91x = 16,759,915,814.25
  5. Step 5: Solve for x
    x = 16,759,915,814.25/155,857.91
  6. Step 6: Final answer
    x = 107,533.30

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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.