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Finding the Fourth Proportional to 214,922.40, 322,448.40 and 115,130.40

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Solution

The fourth proportional to 214,922.40, 322,448.40 and 115,130.40 is: 172,730.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,922.40 : 322,448.40 = 115,130.40 : x
  2. Step 2: Convert to fraction form
    214,922.40/322,448.40 = 115,130.40/x
  3. Step 3: Cross multiply
    214,922.40x = 322,448.40 × 115,130.40
  4. Step 4: Simplify right side
    214,922.40x = 37,123,613,271.36
  5. Step 5: Solve for x
    x = 37,123,613,271.36/214,922.40
  6. Step 6: Final answer
    x = 172,730.31

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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.