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Finding the Fourth Proportional to 78,698.40, 118,047.60 and 31,984.80

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Solution

The fourth proportional to 78,698.40, 118,047.60 and 31,984.80 is: 47,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,698.40 : 118,047.60 = 31,984.80 : x
  2. Step 2: Convert to fraction form
    78,698.40/118,047.60 = 31,984.80/x
  3. Step 3: Cross multiply
    78,698.40x = 118,047.60 × 31,984.80
  4. Step 4: Simplify right side
    78,698.40x = 3,775,728,876.48
  5. Step 5: Solve for x
    x = 3,775,728,876.48/78,698.40
  6. Step 6: Final answer
    x = 47,977.20

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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.