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Finding the Fourth Proportional to 65,280.60, 97,922.12 and 52,289.82

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Solution

The fourth proportional to 65,280.60, 97,922.12 and 52,289.82 is: 78,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,280.60 : 97,922.12 = 52,289.82 : x
  2. Step 2: Convert to fraction form
    65,280.60/97,922.12 = 52,289.82/x
  3. Step 3: Cross multiply
    65,280.60x = 97,922.12 × 52,289.82
  4. Step 4: Simplify right side
    65,280.60x = 5,120,329,767.37
  5. Step 5: Solve for x
    x = 5,120,329,767.37/65,280.60
  6. Step 6: Final answer
    x = 78,435.70

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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.