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Finding the Fourth Proportional to 78,465.14, 117,698.43 and 55,880.54

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Solution

The fourth proportional to 78,465.14, 117,698.43 and 55,880.54 is: 83,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.14 : 117,698.43 = 55,880.54 : x
  2. Step 2: Convert to fraction form
    78,465.14/117,698.43 = 55,880.54/x
  3. Step 3: Cross multiply
    78,465.14x = 117,698.43 × 55,880.54
  4. Step 4: Simplify right side
    78,465.14x = 6,577,051,825.55
  5. Step 5: Solve for x
    x = 6,577,051,825.55/78,465.14
  6. Step 6: Final answer
    x = 83,821.32

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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.