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Finding the Fourth Proportional to 78,738, 118,141.80 and 41,289.12

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Solution

The fourth proportional to 78,738, 118,141.80 and 41,289.12 is: 61,951.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,738 : 118,141.80 = 41,289.12 : x
  2. Step 2: Convert to fraction form
    78,738/118,141.80 = 41,289.12/x
  3. Step 3: Cross multiply
    78,738x = 118,141.80 × 41,289.12
  4. Step 4: Simplify right side
    78,738x = 4,877,970,957.22
  5. Step 5: Solve for x
    x = 4,877,970,957.22/78,738
  6. Step 6: Final answer
    x = 61,951.93

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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.