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Finding the Fourth Proportional to 203,820.54, 305,632.54 and 85,460.10

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Solution

The fourth proportional to 203,820.54, 305,632.54 and 85,460.10 is: 128,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,820.54 : 305,632.54 = 85,460.10 : x
  2. Step 2: Convert to fraction form
    203,820.54/305,632.54 = 85,460.10/x
  3. Step 3: Cross multiply
    203,820.54x = 305,632.54 × 85,460.10
  4. Step 4: Simplify right side
    203,820.54x = 26,119,386,392.36
  5. Step 5: Solve for x
    x = 26,119,386,392.36/203,820.54
  6. Step 6: Final answer
    x = 128,148.94

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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.