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Finding the Fourth Proportional to 154,984.86, 232,474.86 and 84,825.90

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Solution

The fourth proportional to 154,984.86, 232,474.86 and 84,825.90 is: 127,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,984.86 : 232,474.86 = 84,825.90 : x
  2. Step 2: Convert to fraction form
    154,984.86/232,474.86 = 84,825.90/x
  3. Step 3: Cross multiply
    154,984.86x = 232,474.86 × 84,825.90
  4. Step 4: Simplify right side
    154,984.86x = 19,719,889,226.87
  5. Step 5: Solve for x
    x = 19,719,889,226.87/154,984.86
  6. Step 6: Final answer
    x = 127,237.52

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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.