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Finding the Fourth Proportional to 171,145, 256,751.70 and 52,811.88

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Solution

The fourth proportional to 171,145, 256,751.70 and 52,811.88 is: 79,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,145 : 256,751.70 = 52,811.88 : x
  2. Step 2: Convert to fraction form
    171,145/256,751.70 = 52,811.88/x
  3. Step 3: Cross multiply
    171,145x = 256,751.70 × 52,811.88
  4. Step 4: Simplify right side
    171,145x = 13,559,539,970.20
  5. Step 5: Solve for x
    x = 13,559,539,970.20/171,145
  6. Step 6: Final answer
    x = 79,228.37

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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.