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Finding the Fourth Proportional to 171,430.56, 256,698.54 and 137,967.84

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Solution

The fourth proportional to 171,430.56, 256,698.54 and 137,967.84 is: 206,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,430.56 : 256,698.54 = 137,967.84 : x
  2. Step 2: Convert to fraction form
    171,430.56/256,698.54 = 137,967.84/x
  3. Step 3: Cross multiply
    171,430.56x = 256,698.54 × 137,967.84
  4. Step 4: Simplify right side
    171,430.56x = 35,416,143,094.95
  5. Step 5: Solve for x
    x = 35,416,143,094.95/171,430.56
  6. Step 6: Final answer
    x = 206,591.77

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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.