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Finding the Fourth Proportional to 286,335.16, 429,367.88 and 106,295.85

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Solution

The fourth proportional to 286,335.16, 429,367.88 and 106,295.85 is: 159,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,335.16 : 429,367.88 = 106,295.85 : x
  2. Step 2: Convert to fraction form
    286,335.16/429,367.88 = 106,295.85/x
  3. Step 3: Cross multiply
    286,335.16x = 429,367.88 × 106,295.85
  4. Step 4: Simplify right side
    286,335.16x = 45,640,024,309.24
  5. Step 5: Solve for x
    x = 45,640,024,309.24/286,335.16
  6. Step 6: Final answer
    x = 159,393.71

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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.