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Finding the Fourth Proportional to 78,504.48, 117,994.63 and 51,941.07

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Solution

The fourth proportional to 78,504.48, 117,994.63 and 51,941.07 is: 78,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,504.48 : 117,994.63 = 51,941.07 : x
  2. Step 2: Convert to fraction form
    78,504.48/117,994.63 = 51,941.07/x
  3. Step 3: Cross multiply
    78,504.48x = 117,994.63 × 51,941.07
  4. Step 4: Simplify right side
    78,504.48x = 6,128,767,336.45
  5. Step 5: Solve for x
    x = 6,128,767,336.45/78,504.48
  6. Step 6: Final answer
    x = 78,069.01

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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.