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Finding the Fourth Proportional to 136,156.88, 203,885.40 and 83,406.44

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Solution

The fourth proportional to 136,156.88, 203,885.40 and 83,406.44 is: 124,895.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,156.88 : 203,885.40 = 83,406.44 : x
  2. Step 2: Convert to fraction form
    136,156.88/203,885.40 = 83,406.44/x
  3. Step 3: Cross multiply
    136,156.88x = 203,885.40 × 83,406.44
  4. Step 4: Simplify right side
    136,156.88x = 17,005,355,381.98
  5. Step 5: Solve for x
    x = 17,005,355,381.98/136,156.88
  6. Step 6: Final answer
    x = 124,895.31

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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.