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Finding the Fourth Proportional to 171,842.76, 257,688.02 and 91,861.35

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Solution

The fourth proportional to 171,842.76, 257,688.02 and 91,861.35 is: 137,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,842.76 : 257,688.02 = 91,861.35 : x
  2. Step 2: Convert to fraction form
    171,842.76/257,688.02 = 91,861.35/x
  3. Step 3: Cross multiply
    171,842.76x = 257,688.02 × 91,861.35
  4. Step 4: Simplify right side
    171,842.76x = 23,671,569,396.03
  5. Step 5: Solve for x
    x = 23,671,569,396.03/171,842.76
  6. Step 6: Final answer
    x = 137,751.33

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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.