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Finding the Fourth Proportional to 122,689.44, 184,053.60 and 39,564

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Solution

The fourth proportional to 122,689.44, 184,053.60 and 39,564 is: 59,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,689.44 : 184,053.60 = 39,564 : x
  2. Step 2: Convert to fraction form
    122,689.44/184,053.60 = 39,564/x
  3. Step 3: Cross multiply
    122,689.44x = 184,053.60 × 39,564
  4. Step 4: Simplify right side
    122,689.44x = 7,281,896,630.40
  5. Step 5: Solve for x
    x = 7,281,896,630.40/122,689.44
  6. Step 6: Final answer
    x = 59,352.27

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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.