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Finding the Fourth Proportional to 77,020.65, 106,231.64 and 48,699

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Solution

The fourth proportional to 77,020.65, 106,231.64 and 48,699 is: 67,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,020.65 : 106,231.64 = 48,699 : x
  2. Step 2: Convert to fraction form
    77,020.65/106,231.64 = 48,699/x
  3. Step 3: Cross multiply
    77,020.65x = 106,231.64 × 48,699
  4. Step 4: Simplify right side
    77,020.65x = 5,173,374,392.87
  5. Step 5: Solve for x
    x = 5,173,374,392.87/77,020.65
  6. Step 6: Final answer
    x = 67,168.67

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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.