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Finding the Fourth Proportional to 105,808.12, 158,707.86 and 43,477

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Solution

The fourth proportional to 105,808.12, 158,707.86 and 43,477 is: 65,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,808.12 : 158,707.86 = 43,477 : x
  2. Step 2: Convert to fraction form
    105,808.12/158,707.86 = 43,477/x
  3. Step 3: Cross multiply
    105,808.12x = 158,707.86 × 43,477
  4. Step 4: Simplify right side
    105,808.12x = 6,900,141,629.22
  5. Step 5: Solve for x
    x = 6,900,141,629.22/105,808.12
  6. Step 6: Final answer
    x = 65,213.72

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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.