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Finding the Fourth Proportional to 153,893.21, 230,921.07 and 109,203.33

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Solution

The fourth proportional to 153,893.21, 230,921.07 and 109,203.33 is: 163,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,893.21 : 230,921.07 = 109,203.33 : x
  2. Step 2: Convert to fraction form
    153,893.21/230,921.07 = 109,203.33/x
  3. Step 3: Cross multiply
    153,893.21x = 230,921.07 × 109,203.33
  4. Step 4: Simplify right side
    153,893.21x = 25,217,349,811.16
  5. Step 5: Solve for x
    x = 25,217,349,811.16/153,893.21
  6. Step 6: Final answer
    x = 163,862.66

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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.