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Finding the Fourth Proportional to 78,422.63, 117,567.79 and 34,015.93

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Solution

The fourth proportional to 78,422.63, 117,567.79 and 34,015.93 is: 50,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,422.63 : 117,567.79 = 34,015.93 : x
  2. Step 2: Convert to fraction form
    78,422.63/117,567.79 = 34,015.93/x
  3. Step 3: Cross multiply
    78,422.63x = 117,567.79 × 34,015.93
  4. Step 4: Simplify right side
    78,422.63x = 3,999,177,335.94
  5. Step 5: Solve for x
    x = 3,999,177,335.94/78,422.63
  6. Step 6: Final answer
    x = 50,995.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.