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Finding the Fourth Proportional to 257,906.82, 386,735.80 and 108,106.89

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Solution

The fourth proportional to 257,906.82, 386,735.80 and 108,106.89 is: 162,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,906.82 : 386,735.80 = 108,106.89 : x
  2. Step 2: Convert to fraction form
    257,906.82/386,735.80 = 108,106.89/x
  3. Step 3: Cross multiply
    257,906.82x = 386,735.80 × 108,106.89
  4. Step 4: Simplify right side
    257,906.82x = 41,808,803,071.84
  5. Step 5: Solve for x
    x = 41,808,803,071.84/257,906.82
  6. Step 6: Final answer
    x = 162,108.17

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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.