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Finding the Fourth Proportional to 102,038.35, 140,852.16 and 68,034.43

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Solution

The fourth proportional to 102,038.35, 140,852.16 and 68,034.43 is: 93,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,038.35 : 140,852.16 = 68,034.43 : x
  2. Step 2: Convert to fraction form
    102,038.35/140,852.16 = 68,034.43/x
  3. Step 3: Cross multiply
    102,038.35x = 140,852.16 × 68,034.43
  4. Step 4: Simplify right side
    102,038.35x = 9,582,796,419.87
  5. Step 5: Solve for x
    x = 9,582,796,419.87/102,038.35
  6. Step 6: Final answer
    x = 93,913.67

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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.