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Finding the Fourth Proportional to 78,704.65, 108,570.67 and 48,496.51

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Solution

The fourth proportional to 78,704.65, 108,570.67 and 48,496.51 is: 66,899.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,704.65 : 108,570.67 = 48,496.51 : x
  2. Step 2: Convert to fraction form
    78,704.65/108,570.67 = 48,496.51/x
  3. Step 3: Cross multiply
    78,704.65x = 108,570.67 × 48,496.51
  4. Step 4: Simplify right side
    78,704.65x = 5,265,298,583.36
  5. Step 5: Solve for x
    x = 5,265,298,583.36/78,704.65
  6. Step 6: Final answer
    x = 66,899.46

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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.