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Finding the Fourth Proportional to 102,075.76, 140,903.94 and 68,071.96

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Solution

The fourth proportional to 102,075.76, 140,903.94 and 68,071.96 is: 93,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.76 : 140,903.94 = 68,071.96 : x
  2. Step 2: Convert to fraction form
    102,075.76/140,903.94 = 68,071.96/x
  3. Step 3: Cross multiply
    102,075.76x = 140,903.94 × 68,071.96
  4. Step 4: Simplify right side
    102,075.76x = 9,591,607,367.52
  5. Step 5: Solve for x
    x = 9,591,607,367.52/102,075.76
  6. Step 6: Final answer
    x = 93,965.57

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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.