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Finding the Fourth Proportional to 36,145.86, 53,972.75 and 31,893.68

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Solution

The fourth proportional to 36,145.86, 53,972.75 and 31,893.68 is: 47,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.86 : 53,972.75 = 31,893.68 : x
  2. Step 2: Convert to fraction form
    36,145.86/53,972.75 = 31,893.68/x
  3. Step 3: Cross multiply
    36,145.86x = 53,972.75 × 31,893.68
  4. Step 4: Simplify right side
    36,145.86x = 1,721,389,187.89
  5. Step 5: Solve for x
    x = 1,721,389,187.89/36,145.86
  6. Step 6: Final answer
    x = 47,623.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.