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Finding the Fourth Proportional to 171,858.60, 257,496.30 and 142,115.40

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Solution

The fourth proportional to 171,858.60, 257,496.30 and 142,115.40 is: 212,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,858.60 : 257,496.30 = 142,115.40 : x
  2. Step 2: Convert to fraction form
    171,858.60/257,496.30 = 142,115.40/x
  3. Step 3: Cross multiply
    171,858.60x = 257,496.30 × 142,115.40
  4. Step 4: Simplify right side
    171,858.60x = 36,594,189,673.02
  5. Step 5: Solve for x
    x = 36,594,189,673.02/171,858.60
  6. Step 6: Final answer
    x = 212,931.97

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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.