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Finding the Fourth Proportional to 102,408.80, 141,324.81 and 57,089.66

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Solution

The fourth proportional to 102,408.80, 141,324.81 and 57,089.66 is: 78,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,408.80 : 141,324.81 = 57,089.66 : x
  2. Step 2: Convert to fraction form
    102,408.80/141,324.81 = 57,089.66/x
  3. Step 3: Cross multiply
    102,408.80x = 141,324.81 × 57,089.66
  4. Step 4: Simplify right side
    102,408.80x = 8,068,185,352.46
  5. Step 5: Solve for x
    x = 8,068,185,352.46/102,408.80
  6. Step 6: Final answer
    x = 78,784.10

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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.