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Finding the Fourth Proportional to 46,138, 69,211.86 and 21,173.80

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Solution

The fourth proportional to 46,138, 69,211.86 and 21,173.80 is: 31,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,138 : 69,211.86 = 21,173.80 : x
  2. Step 2: Convert to fraction form
    46,138/69,211.86 = 21,173.80/x
  3. Step 3: Cross multiply
    46,138x = 69,211.86 × 21,173.80
  4. Step 4: Simplify right side
    46,138x = 1,465,478,081.27
  5. Step 5: Solve for x
    x = 1,465,478,081.27/46,138
  6. Step 6: Final answer
    x = 31,762.93

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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.