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Finding the Fourth Proportional to 171,624.88, 257,156.16 and 165,064

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Solution

The fourth proportional to 171,624.88, 257,156.16 and 165,064 is: 247,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,624.88 : 257,156.16 = 165,064 : x
  2. Step 2: Convert to fraction form
    171,624.88/257,156.16 = 165,064/x
  3. Step 3: Cross multiply
    171,624.88x = 257,156.16 × 165,064
  4. Step 4: Simplify right side
    171,624.88x = 42,447,224,394.24
  5. Step 5: Solve for x
    x = 42,447,224,394.24/171,624.88
  6. Step 6: Final answer
    x = 247,325.59

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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.