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Finding the Fourth Proportional to 256,803.06, 384,995.88 and 107,154.93

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Solution

The fourth proportional to 256,803.06, 384,995.88 and 107,154.93 is: 160,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,803.06 : 384,995.88 = 107,154.93 : x
  2. Step 2: Convert to fraction form
    256,803.06/384,995.88 = 107,154.93/x
  3. Step 3: Cross multiply
    256,803.06x = 384,995.88 × 107,154.93
  4. Step 4: Simplify right side
    256,803.06x = 41,254,206,571.69
  5. Step 5: Solve for x
    x = 41,254,206,571.69/256,803.06
  6. Step 6: Final answer
    x = 160,645.31

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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.