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Finding the Fourth Proportional to 203,931.54, 305,941.01 and 85,534.65

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Solution

The fourth proportional to 203,931.54, 305,941.01 and 85,534.65 is: 128,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,931.54 : 305,941.01 = 85,534.65 : x
  2. Step 2: Convert to fraction form
    203,931.54/305,941.01 = 85,534.65/x
  3. Step 3: Cross multiply
    203,931.54x = 305,941.01 × 85,534.65
  4. Step 4: Simplify right side
    203,931.54x = 26,168,556,783.32
  5. Step 5: Solve for x
    x = 26,168,556,783.32/203,931.54
  6. Step 6: Final answer
    x = 128,320.30

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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.