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Finding the Fourth Proportional to 53,596, 80,430.86 and 18,535.69

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Solution

The fourth proportional to 53,596, 80,430.86 and 18,535.69 is: 27,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,596 : 80,430.86 = 18,535.69 : x
  2. Step 2: Convert to fraction form
    53,596/80,430.86 = 18,535.69/x
  3. Step 3: Cross multiply
    53,596x = 80,430.86 × 18,535.69
  4. Step 4: Simplify right side
    53,596x = 1,490,841,487.39
  5. Step 5: Solve for x
    x = 1,490,841,487.39/53,596
  6. Step 6: Final answer
    x = 27,816.28

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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.