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Finding the Fourth Proportional to 80,968, 121,514.72 and 56,182.08

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Solution

The fourth proportional to 80,968, 121,514.72 and 56,182.08 is: 84,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,968 : 121,514.72 = 56,182.08 : x
  2. Step 2: Convert to fraction form
    80,968/121,514.72 = 56,182.08/x
  3. Step 3: Cross multiply
    80,968x = 121,514.72 × 56,182.08
  4. Step 4: Simplify right side
    80,968x = 6,826,949,720.22
  5. Step 5: Solve for x
    x = 6,826,949,720.22/80,968
  6. Step 6: Final answer
    x = 84,316.64

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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.