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Finding the Fourth Proportional to 86,954.64, 130,431.93 and 21,290.64

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Solution

The fourth proportional to 86,954.64, 130,431.93 and 21,290.64 is: 31,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,954.64 : 130,431.93 = 21,290.64 : x
  2. Step 2: Convert to fraction form
    86,954.64/130,431.93 = 21,290.64/x
  3. Step 3: Cross multiply
    86,954.64x = 130,431.93 × 21,290.64
  4. Step 4: Simplify right side
    86,954.64x = 2,776,979,266.14
  5. Step 5: Solve for x
    x = 2,776,979,266.14/86,954.64
  6. Step 6: Final answer
    x = 31,935.95

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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.