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Finding the Fourth Proportional to 164,187.86, 245,837.59 and 85,135.91

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Solution

The fourth proportional to 164,187.86, 245,837.59 and 85,135.91 is: 127,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,187.86 : 245,837.59 = 85,135.91 : x
  2. Step 2: Convert to fraction form
    164,187.86/245,837.59 = 85,135.91/x
  3. Step 3: Cross multiply
    164,187.86x = 245,837.59 × 85,135.91
  4. Step 4: Simplify right side
    164,187.86x = 20,929,605,494.83
  5. Step 5: Solve for x
    x = 20,929,605,494.83/164,187.86
  6. Step 6: Final answer
    x = 127,473.53

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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.