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Finding the Fourth Proportional to 253,037.51, 379,962.88 and 167,780.05

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Solution

The fourth proportional to 253,037.51, 379,962.88 and 167,780.05 is: 251,939.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,037.51 : 379,962.88 = 167,780.05 : x
  2. Step 2: Convert to fraction form
    253,037.51/379,962.88 = 167,780.05/x
  3. Step 3: Cross multiply
    253,037.51x = 379,962.88 × 167,780.05
  4. Step 4: Simplify right side
    253,037.51x = 63,750,191,004.54
  5. Step 5: Solve for x
    x = 63,750,191,004.54/253,037.51
  6. Step 6: Final answer
    x = 251,939.69

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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.