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Finding the Fourth Proportional to 108,758.52, 163,257.10 and 86,412.84

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Solution

The fourth proportional to 108,758.52, 163,257.10 and 86,412.84 is: 129,714.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,758.52 : 163,257.10 = 86,412.84 : x
  2. Step 2: Convert to fraction form
    108,758.52/163,257.10 = 86,412.84/x
  3. Step 3: Cross multiply
    108,758.52x = 163,257.10 × 86,412.84
  4. Step 4: Simplify right side
    108,758.52x = 14,107,509,661.16
  5. Step 5: Solve for x
    x = 14,107,509,661.16/108,758.52
  6. Step 6: Final answer
    x = 129,714.06

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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.