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Finding the Fourth Proportional to 104,494.78, 144,205.64 and 61,477.30

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Solution

The fourth proportional to 104,494.78, 144,205.64 and 61,477.30 is: 84,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,494.78 : 144,205.64 = 61,477.30 : x
  2. Step 2: Convert to fraction form
    104,494.78/144,205.64 = 61,477.30/x
  3. Step 3: Cross multiply
    104,494.78x = 144,205.64 × 61,477.30
  4. Step 4: Simplify right side
    104,494.78x = 8,865,373,391.97
  5. Step 5: Solve for x
    x = 8,865,373,391.97/104,494.78
  6. Step 6: Final answer
    x = 84,840.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.