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Finding the Fourth Proportional to 78,946.85, 118,391.93 and 29,015.82

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Solution

The fourth proportional to 78,946.85, 118,391.93 and 29,015.82 is: 43,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,946.85 : 118,391.93 = 29,015.82 : x
  2. Step 2: Convert to fraction form
    78,946.85/118,391.93 = 29,015.82/x
  3. Step 3: Cross multiply
    78,946.85x = 118,391.93 × 29,015.82
  4. Step 4: Simplify right side
    78,946.85x = 3,435,238,894.06
  5. Step 5: Solve for x
    x = 3,435,238,894.06/78,946.85
  6. Step 6: Final answer
    x = 43,513.31

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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.