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Finding the Fourth Proportional to 56,309.76, 84,474.86 and 18,866.16

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Solution

The fourth proportional to 56,309.76, 84,474.86 and 18,866.16 is: 28,302.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,309.76 : 84,474.86 = 18,866.16 : x
  2. Step 2: Convert to fraction form
    56,309.76/84,474.86 = 18,866.16/x
  3. Step 3: Cross multiply
    56,309.76x = 84,474.86 × 18,866.16
  4. Step 4: Simplify right side
    56,309.76x = 1,593,716,224.74
  5. Step 5: Solve for x
    x = 1,593,716,224.74/56,309.76
  6. Step 6: Final answer
    x = 28,302.66

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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.