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Finding the Fourth Proportional to 70,281.06, 105,348.14 and 30,804.90

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Solution

The fourth proportional to 70,281.06, 105,348.14 and 30,804.90 is: 46,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,281.06 : 105,348.14 = 30,804.90 : x
  2. Step 2: Convert to fraction form
    70,281.06/105,348.14 = 30,804.90/x
  3. Step 3: Cross multiply
    70,281.06x = 105,348.14 × 30,804.90
  4. Step 4: Simplify right side
    70,281.06x = 3,245,238,917.89
  5. Step 5: Solve for x
    x = 3,245,238,917.89/70,281.06
  6. Step 6: Final answer
    x = 46,175.16

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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.