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Finding the Fourth Proportional to 86,870.98, 130,223.24 and 27,668.28

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Solution

The fourth proportional to 86,870.98, 130,223.24 and 27,668.28 is: 41,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,870.98 : 130,223.24 = 27,668.28 : x
  2. Step 2: Convert to fraction form
    86,870.98/130,223.24 = 27,668.28/x
  3. Step 3: Cross multiply
    86,870.98x = 130,223.24 × 27,668.28
  4. Step 4: Simplify right side
    86,870.98x = 3,603,053,066.83
  5. Step 5: Solve for x
    x = 3,603,053,066.83/86,870.98
  6. Step 6: Final answer
    x = 41,475.91

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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.