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Finding the Fourth Proportional to 86,918.40, 130,406.40 and 27,763.20

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Solution

The fourth proportional to 86,918.40, 130,406.40 and 27,763.20 is: 41,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,918.40 : 130,406.40 = 27,763.20 : x
  2. Step 2: Convert to fraction form
    86,918.40/130,406.40 = 27,763.20/x
  3. Step 3: Cross multiply
    86,918.40x = 130,406.40 × 27,763.20
  4. Step 4: Simplify right side
    86,918.40x = 3,620,498,964.48
  5. Step 5: Solve for x
    x = 3,620,498,964.48/86,918.40
  6. Step 6: Final answer
    x = 41,654.00

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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.