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Finding the Fourth Proportional to 114,896.90, 172,345.09 and 54,742.78

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Solution

The fourth proportional to 114,896.90, 172,345.09 and 54,742.78 is: 82,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,896.90 : 172,345.09 = 54,742.78 : x
  2. Step 2: Convert to fraction form
    114,896.90/172,345.09 = 54,742.78/x
  3. Step 3: Cross multiply
    114,896.90x = 172,345.09 × 54,742.78
  4. Step 4: Simplify right side
    114,896.90x = 9,434,648,210.51
  5. Step 5: Solve for x
    x = 9,434,648,210.51/114,896.90
  6. Step 6: Final answer
    x = 82,114.04

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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.