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Finding the Fourth Proportional to 120,653.88, 166,506.80 and 72,898.00

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Solution

The fourth proportional to 120,653.88, 166,506.80 and 72,898.00 is: 100,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,653.88 : 166,506.80 = 72,898.00 : x
  2. Step 2: Convert to fraction form
    120,653.88/166,506.80 = 72,898.00/x
  3. Step 3: Cross multiply
    120,653.88x = 166,506.80 × 72,898.00
  4. Step 4: Simplify right side
    120,653.88x = 12,138,012,906.51
  5. Step 5: Solve for x
    x = 12,138,012,906.51/120,653.88
  6. Step 6: Final answer
    x = 100,601.93

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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.