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Finding the Fourth Proportional to 85,430.38, 117,949.35 and 76,462.33

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Solution

The fourth proportional to 85,430.38, 117,949.35 and 76,462.33 is: 105,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,430.38 : 117,949.35 = 76,462.33 : x
  2. Step 2: Convert to fraction form
    85,430.38/117,949.35 = 76,462.33/x
  3. Step 3: Cross multiply
    85,430.38x = 117,949.35 × 76,462.33
  4. Step 4: Simplify right side
    85,430.38x = 9,018,682,122.99
  5. Step 5: Solve for x
    x = 9,018,682,122.99/85,430.38
  6. Step 6: Final answer
    x = 105,567.62

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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.