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Finding the Fourth Proportional to 171,623.84, 257,362.80 and 78,188.96

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Solution

The fourth proportional to 171,623.84, 257,362.80 and 78,188.96 is: 117,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,623.84 : 257,362.80 = 78,188.96 : x
  2. Step 2: Convert to fraction form
    171,623.84/257,362.80 = 78,188.96/x
  3. Step 3: Cross multiply
    171,623.84x = 257,362.80 × 78,188.96
  4. Step 4: Simplify right side
    171,623.84x = 20,122,929,674.69
  5. Step 5: Solve for x
    x = 20,122,929,674.69/171,623.84
  6. Step 6: Final answer
    x = 117,250.20

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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.