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Finding the Fourth Proportional to 78,233.36, 107,963.76 and 46,390.64

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Solution

The fourth proportional to 78,233.36, 107,963.76 and 46,390.64 is: 64,020.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,233.36 : 107,963.76 = 46,390.64 : x
  2. Step 2: Convert to fraction form
    78,233.36/107,963.76 = 46,390.64/x
  3. Step 3: Cross multiply
    78,233.36x = 107,963.76 × 46,390.64
  4. Step 4: Simplify right side
    78,233.36x = 5,008,507,923.21
  5. Step 5: Solve for x
    x = 5,008,507,923.21/78,233.36
  6. Step 6: Final answer
    x = 64,020.11

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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.