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Finding the Fourth Proportional to 77,408.10, 116,002.80 and 47,737.80

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Solution

The fourth proportional to 77,408.10, 116,002.80 and 47,737.80 is: 71,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408.10 : 116,002.80 = 47,737.80 : x
  2. Step 2: Convert to fraction form
    77,408.10/116,002.80 = 47,737.80/x
  3. Step 3: Cross multiply
    77,408.10x = 116,002.80 × 47,737.80
  4. Step 4: Simplify right side
    77,408.10x = 5,537,718,465.84
  5. Step 5: Solve for x
    x = 5,537,718,465.84/77,408.10
  6. Step 6: Final answer
    x = 71,539.26

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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.