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Finding the Fourth Proportional to 122,990.48, 184,511.64 and 39,878

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Solution

The fourth proportional to 122,990.48, 184,511.64 and 39,878 is: 59,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,990.48 : 184,511.64 = 39,878 : x
  2. Step 2: Convert to fraction form
    122,990.48/184,511.64 = 39,878/x
  3. Step 3: Cross multiply
    122,990.48x = 184,511.64 × 39,878
  4. Step 4: Simplify right side
    122,990.48x = 7,357,955,179.92
  5. Step 5: Solve for x
    x = 7,357,955,179.92/122,990.48
  6. Step 6: Final answer
    x = 59,825.40

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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.