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Finding the Fourth Proportional to 56,492.26, 77,959.26 and 30,998.77

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Solution

The fourth proportional to 56,492.26, 77,959.26 and 30,998.77 is: 42,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,492.26 : 77,959.26 = 30,998.77 : x
  2. Step 2: Convert to fraction form
    56,492.26/77,959.26 = 30,998.77/x
  3. Step 3: Cross multiply
    56,492.26x = 77,959.26 × 30,998.77
  4. Step 4: Simplify right side
    56,492.26x = 2,416,640,975.21
  5. Step 5: Solve for x
    x = 2,416,640,975.21/56,492.26
  6. Step 6: Final answer
    x = 42,778.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.