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Finding the Fourth Proportional to 171,695, 257,455.02 and 71,828.12

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Solution

The fourth proportional to 171,695, 257,455.02 and 71,828.12 is: 107,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,695 : 257,455.02 = 71,828.12 : x
  2. Step 2: Convert to fraction form
    171,695/257,455.02 = 71,828.12/x
  3. Step 3: Cross multiply
    171,695x = 257,455.02 × 71,828.12
  4. Step 4: Simplify right side
    171,695x = 18,492,510,071.16
  5. Step 5: Solve for x
    x = 18,492,510,071.16/171,695
  6. Step 6: Final answer
    x = 107,705.58

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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.