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Finding the Fourth Proportional to 78,078, 107,718.24 and 51,235.32

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Solution

The fourth proportional to 78,078, 107,718.24 and 51,235.32 is: 70,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078 : 107,718.24 = 51,235.32 : x
  2. Step 2: Convert to fraction form
    78,078/107,718.24 = 51,235.32/x
  3. Step 3: Cross multiply
    78,078x = 107,718.24 × 51,235.32
  4. Step 4: Simplify right side
    78,078x = 5,518,978,496.24
  5. Step 5: Solve for x
    x = 5,518,978,496.24/78,078
  6. Step 6: Final answer
    x = 70,685.45

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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.