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Finding the Fourth Proportional to 189,852.42, 284,690.98 and 69,879.24

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Solution

The fourth proportional to 189,852.42, 284,690.98 and 69,879.24 is: 104,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,852.42 : 284,690.98 = 69,879.24 : x
  2. Step 2: Convert to fraction form
    189,852.42/284,690.98 = 69,879.24/x
  3. Step 3: Cross multiply
    189,852.42x = 284,690.98 × 69,879.24
  4. Step 4: Simplify right side
    189,852.42x = 19,893,989,317.26
  5. Step 5: Solve for x
    x = 19,893,989,317.26/189,852.42
  6. Step 6: Final answer
    x = 104,786.60

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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.