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Finding the Fourth Proportional to 171,840.54, 257,455.82 and 71,780.52

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Solution

The fourth proportional to 171,840.54, 257,455.82 and 71,780.52 is: 107,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,840.54 : 257,455.82 = 71,780.52 : x
  2. Step 2: Convert to fraction form
    171,840.54/257,455.82 = 71,780.52/x
  3. Step 3: Cross multiply
    171,840.54x = 257,455.82 × 71,780.52
  4. Step 4: Simplify right side
    171,840.54x = 18,480,312,636.63
  5. Step 5: Solve for x
    x = 18,480,312,636.63/171,840.54
  6. Step 6: Final answer
    x = 107,543.38

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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.