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Finding the Fourth Proportional to 137,335.40, 205,922.90 and 58,409.00

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Solution

The fourth proportional to 137,335.40, 205,922.90 and 58,409.00 is: 87,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,335.40 : 205,922.90 = 58,409.00 : x
  2. Step 2: Convert to fraction form
    137,335.40/205,922.90 = 58,409.00/x
  3. Step 3: Cross multiply
    137,335.40x = 205,922.90 × 58,409.00
  4. Step 4: Simplify right side
    137,335.40x = 12,027,751,326.93
  5. Step 5: Solve for x
    x = 12,027,751,326.93/137,335.40
  6. Step 6: Final answer
    x = 87,579.39

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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.