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Finding the Fourth Proportional to 102,682.71, 141,643.00 and 61,818.41

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Solution

The fourth proportional to 102,682.71, 141,643.00 and 61,818.41 is: 85,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,682.71 : 141,643.00 = 61,818.41 : x
  2. Step 2: Convert to fraction form
    102,682.71/141,643.00 = 61,818.41/x
  3. Step 3: Cross multiply
    102,682.71x = 141,643.00 × 61,818.41
  4. Step 4: Simplify right side
    102,682.71x = 8,756,144,738.54
  5. Step 5: Solve for x
    x = 8,756,144,738.54/102,682.71
  6. Step 6: Final answer
    x = 85,273.80

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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.