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Finding the Fourth Proportional to 78,246, 107,990.42 and 48,033.81

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Solution

The fourth proportional to 78,246, 107,990.42 and 48,033.81 is: 66,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246 : 107,990.42 = 48,033.81 : x
  2. Step 2: Convert to fraction form
    78,246/107,990.42 = 48,033.81/x
  3. Step 3: Cross multiply
    78,246x = 107,990.42 × 48,033.81
  4. Step 4: Simplify right side
    78,246x = 5,187,191,075.93
  5. Step 5: Solve for x
    x = 5,187,191,075.93/78,246
  6. Step 6: Final answer
    x = 66,293.37

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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.