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Finding the Fourth Proportional to 66,762.70, 100,143.74 and 27,319.82

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Solution

The fourth proportional to 66,762.70, 100,143.74 and 27,319.82 is: 40,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,762.70 : 100,143.74 = 27,319.82 : x
  2. Step 2: Convert to fraction form
    66,762.70/100,143.74 = 27,319.82/x
  3. Step 3: Cross multiply
    66,762.70x = 100,143.74 × 27,319.82
  4. Step 4: Simplify right side
    66,762.70x = 2,735,908,518.51
  5. Step 5: Solve for x
    x = 2,735,908,518.51/66,762.70
  6. Step 6: Final answer
    x = 40,979.60

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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.