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Finding the Fourth Proportional to 76,464, 105,474.60 and 48,120.48

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Solution

The fourth proportional to 76,464, 105,474.60 and 48,120.48 is: 66,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,464 : 105,474.60 = 48,120.48 : x
  2. Step 2: Convert to fraction form
    76,464/105,474.60 = 48,120.48/x
  3. Step 3: Cross multiply
    76,464x = 105,474.60 × 48,120.48
  4. Step 4: Simplify right side
    76,464x = 5,075,488,379.81
  5. Step 5: Solve for x
    x = 5,075,488,379.81/76,464
  6. Step 6: Final answer
    x = 66,377.49

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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.