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Finding the Fourth Proportional to 203,015.76, 304,543.92 and 69,878.40

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Solution

The fourth proportional to 203,015.76, 304,543.92 and 69,878.40 is: 104,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,015.76 : 304,543.92 = 69,878.40 : x
  2. Step 2: Convert to fraction form
    203,015.76/304,543.92 = 69,878.40/x
  3. Step 3: Cross multiply
    203,015.76x = 304,543.92 × 69,878.40
  4. Step 4: Simplify right side
    203,015.76x = 21,281,041,859.33
  5. Step 5: Solve for x
    x = 21,281,041,859.33/203,015.76
  6. Step 6: Final answer
    x = 104,824.58

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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.