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Finding the Fourth Proportional to 53,423.69, 80,064.74 and 28,409.87

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Solution

The fourth proportional to 53,423.69, 80,064.74 and 28,409.87 is: 42,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,423.69 : 80,064.74 = 28,409.87 : x
  2. Step 2: Convert to fraction form
    53,423.69/80,064.74 = 28,409.87/x
  3. Step 3: Cross multiply
    53,423.69x = 80,064.74 × 28,409.87
  4. Step 4: Simplify right side
    53,423.69x = 2,274,629,126.17
  5. Step 5: Solve for x
    x = 2,274,629,126.17/53,423.69
  6. Step 6: Final answer
    x = 42,577.17

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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.