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Finding the Fourth Proportional to 70,968, 106,331.49 and 42,828.93

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Solution

The fourth proportional to 70,968, 106,331.49 and 42,828.93 is: 64,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,968 : 106,331.49 = 42,828.93 : x
  2. Step 2: Convert to fraction form
    70,968/106,331.49 = 42,828.93/x
  3. Step 3: Cross multiply
    70,968x = 106,331.49 × 42,828.93
  4. Step 4: Simplify right side
    70,968x = 4,554,063,942.01
  5. Step 5: Solve for x
    x = 4,554,063,942.01/70,968
  6. Step 6: Final answer
    x = 64,170.67

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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.