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Finding the Fourth Proportional to 77,563.64, 116,520.42 and 46,420.76

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Solution

The fourth proportional to 77,563.64, 116,520.42 and 46,420.76 is: 69,735.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,563.64 : 116,520.42 = 46,420.76 : x
  2. Step 2: Convert to fraction form
    77,563.64/116,520.42 = 46,420.76/x
  3. Step 3: Cross multiply
    77,563.64x = 116,520.42 × 46,420.76
  4. Step 4: Simplify right side
    77,563.64x = 5,408,966,451.92
  5. Step 5: Solve for x
    x = 5,408,966,451.92/77,563.64
  6. Step 6: Final answer
    x = 69,735.85

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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.