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Finding the Fourth Proportional to 78,014.40, 117,021.60 and 31,300.80

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Solution

The fourth proportional to 78,014.40, 117,021.60 and 31,300.80 is: 46,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,014.40 : 117,021.60 = 31,300.80 : x
  2. Step 2: Convert to fraction form
    78,014.40/117,021.60 = 31,300.80/x
  3. Step 3: Cross multiply
    78,014.40x = 117,021.60 × 31,300.80
  4. Step 4: Simplify right side
    78,014.40x = 3,662,869,697.28
  5. Step 5: Solve for x
    x = 3,662,869,697.28/78,014.40
  6. Step 6: Final answer
    x = 46,951.20

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1.5x scale

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.