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Finding the Fourth Proportional to 108,786.00, 163,021.28 and 77,257.81

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Solution

The fourth proportional to 108,786.00, 163,021.28 and 77,257.81 is: 115,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,786.00 : 163,021.28 = 77,257.81 : x
  2. Step 2: Convert to fraction form
    108,786.00/163,021.28 = 77,257.81/x
  3. Step 3: Cross multiply
    108,786.00x = 163,021.28 × 77,257.81
  4. Step 4: Simplify right side
    108,786.00x = 12,594,666,893.68
  5. Step 5: Solve for x
    x = 12,594,666,893.68/108,786.00
  6. Step 6: Final answer
    x = 115,774.70

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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.