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Finding the Fourth Proportional to 78,017.40, 116,796.36 and 48,339.84

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Solution

The fourth proportional to 78,017.40, 116,796.36 and 48,339.84 is: 72,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,017.40 : 116,796.36 = 48,339.84 : x
  2. Step 2: Convert to fraction form
    78,017.40/116,796.36 = 48,339.84/x
  3. Step 3: Cross multiply
    78,017.40x = 116,796.36 × 48,339.84
  4. Step 4: Simplify right side
    78,017.40x = 5,645,917,354.98
  5. Step 5: Solve for x
    x = 5,645,917,354.98/78,017.40
  6. Step 6: Final answer
    x = 72,367.41

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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.