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Finding the Fourth Proportional to 105,804.12, 158,701.86 and 43,473

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Solution

The fourth proportional to 105,804.12, 158,701.86 and 43,473 is: 65,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,804.12 : 158,701.86 = 43,473 : x
  2. Step 2: Convert to fraction form
    105,804.12/158,701.86 = 43,473/x
  3. Step 3: Cross multiply
    105,804.12x = 158,701.86 × 43,473
  4. Step 4: Simplify right side
    105,804.12x = 6,899,245,959.78
  5. Step 5: Solve for x
    x = 6,899,245,959.78/105,804.12
  6. Step 6: Final answer
    x = 65,207.72

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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.