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Finding the Fourth Proportional to 203,547.68, 305,322.31 and 85,135.96

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Solution

The fourth proportional to 203,547.68, 305,322.31 and 85,135.96 is: 127,704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,547.68 : 305,322.31 = 85,135.96 : x
  2. Step 2: Convert to fraction form
    203,547.68/305,322.31 = 85,135.96/x
  3. Step 3: Cross multiply
    203,547.68x = 305,322.31 × 85,135.96
  4. Step 4: Simplify right side
    203,547.68x = 25,993,908,459.34
  5. Step 5: Solve for x
    x = 25,993,908,459.34/203,547.68
  6. Step 6: Final answer
    x = 127,704.27

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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.