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Finding the Fourth Proportional to 86,430, 119,273.40 and 48,705.60

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Solution

The fourth proportional to 86,430, 119,273.40 and 48,705.60 is: 67,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,430 : 119,273.40 = 48,705.60 : x
  2. Step 2: Convert to fraction form
    86,430/119,273.40 = 48,705.60/x
  3. Step 3: Cross multiply
    86,430x = 119,273.40 × 48,705.60
  4. Step 4: Simplify right side
    86,430x = 5,809,282,511.04
  5. Step 5: Solve for x
    x = 5,809,282,511.04/86,430
  6. Step 6: Final answer
    x = 67,213.73

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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.