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Finding the Fourth Proportional to 171,742.90, 257,565.12 and 57,878.31

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Solution

The fourth proportional to 171,742.90, 257,565.12 and 57,878.31 is: 86,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,742.90 : 257,565.12 = 57,878.31 : x
  2. Step 2: Convert to fraction form
    171,742.90/257,565.12 = 57,878.31/x
  3. Step 3: Cross multiply
    171,742.90x = 257,565.12 × 57,878.31
  4. Step 4: Simplify right side
    171,742.90x = 14,907,433,860.55
  5. Step 5: Solve for x
    x = 14,907,433,860.55/171,742.90
  6. Step 6: Final answer
    x = 86,800.87

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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.