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Finding the Fourth Proportional to 56,819, 78,328.24 and 39,770.48

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Solution

The fourth proportional to 56,819, 78,328.24 and 39,770.48 is: 54,825.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,819 : 78,328.24 = 39,770.48 : x
  2. Step 2: Convert to fraction form
    56,819/78,328.24 = 39,770.48/x
  3. Step 3: Cross multiply
    56,819x = 78,328.24 × 39,770.48
  4. Step 4: Simplify right side
    56,819x = 3,115,151,702.36
  5. Step 5: Solve for x
    x = 3,115,151,702.36/56,819
  6. Step 6: Final answer
    x = 54,825.88

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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.