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Finding the Fourth Proportional to 53,905.80, 80,664.30 and 36,409.80

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Solution

The fourth proportional to 53,905.80, 80,664.30 and 36,409.80 is: 54,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905.80 : 80,664.30 = 36,409.80 : x
  2. Step 2: Convert to fraction form
    53,905.80/80,664.30 = 36,409.80/x
  3. Step 3: Cross multiply
    53,905.80x = 80,664.30 × 36,409.80
  4. Step 4: Simplify right side
    53,905.80x = 2,936,971,030.14
  5. Step 5: Solve for x
    x = 2,936,971,030.14/53,905.80
  6. Step 6: Final answer
    x = 54,483.40

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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.