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Finding the Fourth Proportional to 89,705.67, 134,502 and 47,559.14

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Solution

The fourth proportional to 89,705.67, 134,502 and 47,559.14 is: 71,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,705.67 : 134,502 = 47,559.14 : x
  2. Step 2: Convert to fraction form
    89,705.67/134,502 = 47,559.14/x
  3. Step 3: Cross multiply
    89,705.67x = 134,502 × 47,559.14
  4. Step 4: Simplify right side
    89,705.67x = 6,396,799,448.28
  5. Step 5: Solve for x
    x = 6,396,799,448.28/89,705.67
  6. Step 6: Final answer
    x = 71,308.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.