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Finding the Fourth Proportional to 86,776.85, 130,016.68 and 47,361.62

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Solution

The fourth proportional to 86,776.85, 130,016.68 and 47,361.62 is: 70,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,776.85 : 130,016.68 = 47,361.62 : x
  2. Step 2: Convert to fraction form
    86,776.85/130,016.68 = 47,361.62/x
  3. Step 3: Cross multiply
    86,776.85x = 130,016.68 × 47,361.62
  4. Step 4: Simplify right side
    86,776.85x = 6,157,799,823.33
  5. Step 5: Solve for x
    x = 6,157,799,823.33/86,776.85
  6. Step 6: Final answer
    x = 70,961.32

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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.