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Finding the Fourth Proportional to 161,858.82, 242,891.92 and 78,707.46

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Solution

The fourth proportional to 161,858.82, 242,891.92 and 78,707.46 is: 118,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,858.82 : 242,891.92 = 78,707.46 : x
  2. Step 2: Convert to fraction form
    161,858.82/242,891.92 = 78,707.46/x
  3. Step 3: Cross multiply
    161,858.82x = 242,891.92 × 78,707.46
  4. Step 4: Simplify right side
    161,858.82x = 19,117,406,077.72
  5. Step 5: Solve for x
    x = 19,117,406,077.72/161,858.82
  6. Step 6: Final answer
    x = 118,111.61

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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.