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Finding the Fourth Proportional to 77,643.60, 116,465.40 and 53,067.60

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Solution

The fourth proportional to 77,643.60, 116,465.40 and 53,067.60 is: 79,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,643.60 : 116,465.40 = 53,067.60 : x
  2. Step 2: Convert to fraction form
    77,643.60/116,465.40 = 53,067.60/x
  3. Step 3: Cross multiply
    77,643.60x = 116,465.40 × 53,067.60
  4. Step 4: Simplify right side
    77,643.60x = 6,180,539,261.04
  5. Step 5: Solve for x
    x = 6,180,539,261.04/77,643.60
  6. Step 6: Final answer
    x = 79,601.40

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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.