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Finding the Fourth Proportional to 161,490.51, 241,990.14 and 77,134.52

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Solution

The fourth proportional to 161,490.51, 241,990.14 and 77,134.52 is: 115,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,490.51 : 241,990.14 = 77,134.52 : x
  2. Step 2: Convert to fraction form
    161,490.51/241,990.14 = 77,134.52/x
  3. Step 3: Cross multiply
    161,490.51x = 241,990.14 × 77,134.52
  4. Step 4: Simplify right side
    161,490.51x = 18,665,792,083.68
  5. Step 5: Solve for x
    x = 18,665,792,083.68/161,490.51
  6. Step 6: Final answer
    x = 115,584.45

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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.