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Finding the Fourth Proportional to 171,637.86, 257,456.82 and 46,978.86

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Solution

The fourth proportional to 171,637.86, 257,456.82 and 46,978.86 is: 70,468.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,637.86 : 257,456.82 = 46,978.86 : x
  2. Step 2: Convert to fraction form
    171,637.86/257,456.82 = 46,978.86/x
  3. Step 3: Cross multiply
    171,637.86x = 257,456.82 × 46,978.86
  4. Step 4: Simplify right side
    171,637.86x = 12,095,027,902.83
  5. Step 5: Solve for x
    x = 12,095,027,902.83/171,637.86
  6. Step 6: Final answer
    x = 70,468.30

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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.