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Finding the Fourth Proportional to 286,161.86, 429,303.51 and 108,664.94

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Solution

The fourth proportional to 286,161.86, 429,303.51 and 108,664.94 is: 163,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,161.86 : 429,303.51 = 108,664.94 : x
  2. Step 2: Convert to fraction form
    286,161.86/429,303.51 = 108,664.94/x
  3. Step 3: Cross multiply
    286,161.86x = 429,303.51 × 108,664.94
  4. Step 4: Simplify right side
    286,161.86x = 46,650,241,229.20
  5. Step 5: Solve for x
    x = 46,650,241,229.20/286,161.86
  6. Step 6: Final answer
    x = 163,020.47

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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.