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Finding the Fourth Proportional to 236,798, 326,781.24 and 130,814

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Solution

The fourth proportional to 236,798, 326,781.24 and 130,814 is: 180,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,798 : 326,781.24 = 130,814 : x
  2. Step 2: Convert to fraction form
    236,798/326,781.24 = 130,814/x
  3. Step 3: Cross multiply
    236,798x = 326,781.24 × 130,814
  4. Step 4: Simplify right side
    236,798x = 42,747,561,129.36
  5. Step 5: Solve for x
    x = 42,747,561,129.36/236,798
  6. Step 6: Final answer
    x = 180,523.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.