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Finding the Fourth Proportional to 161,786, 242,726.88 and 82,955.54

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Solution

The fourth proportional to 161,786, 242,726.88 and 82,955.54 is: 124,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,786 : 242,726.88 = 82,955.54 : x
  2. Step 2: Convert to fraction form
    161,786/242,726.88 = 82,955.54/x
  3. Step 3: Cross multiply
    161,786x = 242,726.88 × 82,955.54
  4. Step 4: Simplify right side
    161,786x = 20,135,539,402.92
  5. Step 5: Solve for x
    x = 20,135,539,402.92/161,786
  6. Step 6: Final answer
    x = 124,457.86

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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.