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Finding the Fourth Proportional to 256,003.65, 384,089.72 and 121,125.69

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Solution

The fourth proportional to 256,003.65, 384,089.72 and 121,125.69 is: 181,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,003.65 : 384,089.72 = 121,125.69 : x
  2. Step 2: Convert to fraction form
    256,003.65/384,089.72 = 121,125.69/x
  3. Step 3: Cross multiply
    256,003.65x = 384,089.72 × 121,125.69
  4. Step 4: Simplify right side
    256,003.65x = 46,523,131,751.28
  5. Step 5: Solve for x
    x = 46,523,131,751.28/256,003.65
  6. Step 6: Final answer
    x = 181,728.39

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1.5x scale

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.