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Finding the Fourth Proportional to 286,596.92, 429,840.69 and 109,121.87

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Solution

The fourth proportional to 286,596.92, 429,840.69 and 109,121.87 is: 163,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,596.92 : 429,840.69 = 109,121.87 : x
  2. Step 2: Convert to fraction form
    286,596.92/429,840.69 = 109,121.87/x
  3. Step 3: Cross multiply
    286,596.92x = 429,840.69 × 109,121.87
  4. Step 4: Simplify right side
    286,596.92x = 46,905,017,745.69
  5. Step 5: Solve for x
    x = 46,905,017,745.69/286,596.92
  6. Step 6: Final answer
    x = 163,661.98

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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.