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Finding the Fourth Proportional to 86,776.97, 130,016.86 and 47,361.74

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Solution

The fourth proportional to 86,776.97, 130,016.86 and 47,361.74 is: 70,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,776.97 : 130,016.86 = 47,361.74 : x
  2. Step 2: Convert to fraction form
    86,776.97/130,016.86 = 47,361.74/x
  3. Step 3: Cross multiply
    86,776.97x = 130,016.86 × 47,361.74
  4. Step 4: Simplify right side
    86,776.97x = 6,157,824,718.94
  5. Step 5: Solve for x
    x = 6,157,824,718.94/86,776.97
  6. Step 6: Final answer
    x = 70,961.51

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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.