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Finding the Fourth Proportional to 65,029.77, 89,782.43 and 49,893.71

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Solution

The fourth proportional to 65,029.77, 89,782.43 and 49,893.71 is: 68,885.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,029.77 : 89,782.43 = 49,893.71 : x
  2. Step 2: Convert to fraction form
    65,029.77/89,782.43 = 49,893.71/x
  3. Step 3: Cross multiply
    65,029.77x = 89,782.43 × 49,893.71
  4. Step 4: Simplify right side
    65,029.77x = 4,479,577,827.13
  5. Step 5: Solve for x
    x = 4,479,577,827.13/65,029.77
  6. Step 6: Final answer
    x = 68,885.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.