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Finding the Fourth Proportional to 105,398.31, 158,097.74 and 43,068.81

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Solution

The fourth proportional to 105,398.31, 158,097.74 and 43,068.81 is: 64,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,398.31 : 158,097.74 = 43,068.81 : x
  2. Step 2: Convert to fraction form
    105,398.31/158,097.74 = 43,068.81/x
  3. Step 3: Cross multiply
    105,398.31x = 158,097.74 × 43,068.81
  4. Step 4: Simplify right side
    105,398.31x = 6,809,081,310.15
  5. Step 5: Solve for x
    x = 6,809,081,310.15/105,398.31
  6. Step 6: Final answer
    x = 64,603.33

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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.