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Finding the Fourth Proportional to 52,133.60, 78,200.52 and 12,690.64

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Solution

The fourth proportional to 52,133.60, 78,200.52 and 12,690.64 is: 19,035.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,133.60 : 78,200.52 = 12,690.64 : x
  2. Step 2: Convert to fraction form
    52,133.60/78,200.52 = 12,690.64/x
  3. Step 3: Cross multiply
    52,133.60x = 78,200.52 × 12,690.64
  4. Step 4: Simplify right side
    52,133.60x = 992,414,647.13
  5. Step 5: Solve for x
    x = 992,414,647.13/52,133.60
  6. Step 6: Final answer
    x = 19,035.99

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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.