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Finding the Fourth Proportional to 83,430, 115,134.48 and 45,705.60

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Solution

The fourth proportional to 83,430, 115,134.48 and 45,705.60 is: 63,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,430 : 115,134.48 = 45,705.60 : x
  2. Step 2: Convert to fraction form
    83,430/115,134.48 = 45,705.60/x
  3. Step 3: Cross multiply
    83,430x = 115,134.48 × 45,705.60
  4. Step 4: Simplify right side
    83,430x = 5,262,290,489.09
  5. Step 5: Solve for x
    x = 5,262,290,489.09/83,430
  6. Step 6: Final answer
    x = 63,074.32

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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.