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Finding the Fourth Proportional to 136,904.98, 205,408.43 and 83,705.98

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Solution

The fourth proportional to 136,904.98, 205,408.43 and 83,705.98 is: 125,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,904.98 : 205,408.43 = 83,705.98 : x
  2. Step 2: Convert to fraction form
    136,904.98/205,408.43 = 83,705.98/x
  3. Step 3: Cross multiply
    136,904.98x = 205,408.43 × 83,705.98
  4. Step 4: Simplify right side
    136,904.98x = 17,193,913,933.41
  5. Step 5: Solve for x
    x = 17,193,913,933.41/136,904.98
  6. Step 6: Final answer
    x = 125,590.13

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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.