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Finding the Fourth Proportional to 189,641.02, 284,573.76 and 69,782.14

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Solution

The fourth proportional to 189,641.02, 284,573.76 and 69,782.14 is: 104,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,641.02 : 284,573.76 = 69,782.14 : x
  2. Step 2: Convert to fraction form
    189,641.02/284,573.76 = 69,782.14/x
  3. Step 3: Cross multiply
    189,641.02x = 284,573.76 × 69,782.14
  4. Step 4: Simplify right side
    189,641.02x = 19,858,165,960.65
  5. Step 5: Solve for x
    x = 19,858,165,960.65/189,641.02
  6. Step 6: Final answer
    x = 104,714.51

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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.