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Finding the Fourth Proportional to 142,975.68, 214,324.07 and 68,075.70

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Solution

The fourth proportional to 142,975.68, 214,324.07 and 68,075.70 is: 102,047.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,975.68 : 214,324.07 = 68,075.70 : x
  2. Step 2: Convert to fraction form
    142,975.68/214,324.07 = 68,075.70/x
  3. Step 3: Cross multiply
    142,975.68x = 214,324.07 × 68,075.70
  4. Step 4: Simplify right side
    142,975.68x = 14,590,260,751.72
  5. Step 5: Solve for x
    x = 14,590,260,751.72/142,975.68
  6. Step 6: Final answer
    x = 102,047.15

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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.