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Finding the Fourth Proportional to 68,153.76, 94,041.78 and 39,078

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Solution

The fourth proportional to 68,153.76, 94,041.78 and 39,078 is: 53,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,153.76 : 94,041.78 = 39,078 : x
  2. Step 2: Convert to fraction form
    68,153.76/94,041.78 = 39,078/x
  3. Step 3: Cross multiply
    68,153.76x = 94,041.78 × 39,078
  4. Step 4: Simplify right side
    68,153.76x = 3,674,964,678.84
  5. Step 5: Solve for x
    x = 3,674,964,678.84/68,153.76
  6. Step 6: Final answer
    x = 53,921.67

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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.