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Finding the Fourth Proportional to 105,812.92, 145,999.02 and 61,075

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Solution

The fourth proportional to 105,812.92, 145,999.02 and 61,075 is: 84,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,812.92 : 145,999.02 = 61,075 : x
  2. Step 2: Convert to fraction form
    105,812.92/145,999.02 = 61,075/x
  3. Step 3: Cross multiply
    105,812.92x = 145,999.02 × 61,075
  4. Step 4: Simplify right side
    105,812.92x = 8,916,890,146.50
  5. Step 5: Solve for x
    x = 8,916,890,146.50/105,812.92
  6. Step 6: Final answer
    x = 84,270.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.