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Finding the Fourth Proportional to 105,398.56, 158,097.84 and 43,069

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Solution

The fourth proportional to 105,398.56, 158,097.84 and 43,069 is: 64,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,398.56 : 158,097.84 = 43,069 : x
  2. Step 2: Convert to fraction form
    105,398.56/158,097.84 = 43,069/x
  3. Step 3: Cross multiply
    105,398.56x = 158,097.84 × 43,069
  4. Step 4: Simplify right side
    105,398.56x = 6,809,115,870.96
  5. Step 5: Solve for x
    x = 6,809,115,870.96/105,398.56
  6. Step 6: Final answer
    x = 64,603.50

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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.