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Finding the Fourth Proportional to 77,408.63, 106,823.87 and 45,137.01

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Solution

The fourth proportional to 77,408.63, 106,823.87 and 45,137.01 is: 62,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,408.63 : 106,823.87 = 45,137.01 : x
  2. Step 2: Convert to fraction form
    77,408.63/106,823.87 = 45,137.01/x
  3. Step 3: Cross multiply
    77,408.63x = 106,823.87 × 45,137.01
  4. Step 4: Simplify right side
    77,408.63x = 4,821,710,432.60
  5. Step 5: Solve for x
    x = 4,821,710,432.60/77,408.63
  6. Step 6: Final answer
    x = 62,289.06

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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.