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Finding the Fourth Proportional to 199,657.68, 275,638.32 and 136,088.88

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Solution

The fourth proportional to 199,657.68, 275,638.32 and 136,088.88 is: 187,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,657.68 : 275,638.32 = 136,088.88 : x
  2. Step 2: Convert to fraction form
    199,657.68/275,638.32 = 136,088.88/x
  3. Step 3: Cross multiply
    199,657.68x = 275,638.32 × 136,088.88
  4. Step 4: Simplify right side
    199,657.68x = 37,511,310,253.88
  5. Step 5: Solve for x
    x = 37,511,310,253.88/199,657.68
  6. Step 6: Final answer
    x = 187,878.12

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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.