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Finding the Fourth Proportional to 78,544.35, 117,746.22 and 28,589.22

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Solution

The fourth proportional to 78,544.35, 117,746.22 and 28,589.22 is: 42,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,544.35 : 117,746.22 = 28,589.22 : x
  2. Step 2: Convert to fraction form
    78,544.35/117,746.22 = 28,589.22/x
  3. Step 3: Cross multiply
    78,544.35x = 117,746.22 × 28,589.22
  4. Step 4: Simplify right side
    78,544.35x = 3,366,272,587.75
  5. Step 5: Solve for x
    x = 3,366,272,587.75/78,544.35
  6. Step 6: Final answer
    x = 42,858.24

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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.