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Finding the Fourth Proportional to 116,989.65, 161,402.42 and 76,725.77

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Solution

The fourth proportional to 116,989.65, 161,402.42 and 76,725.77 is: 105,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,989.65 : 161,402.42 = 76,725.77 : x
  2. Step 2: Convert to fraction form
    116,989.65/161,402.42 = 76,725.77/x
  3. Step 3: Cross multiply
    116,989.65x = 161,402.42 × 76,725.77
  4. Step 4: Simplify right side
    116,989.65x = 12,383,724,339.17
  5. Step 5: Solve for x
    x = 12,383,724,339.17/116,989.65
  6. Step 6: Final answer
    x = 105,853.16

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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.