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Finding the Fourth Proportional to 86,978.20, 130,467.30 and 51,986.20

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Solution

The fourth proportional to 86,978.20, 130,467.30 and 51,986.20 is: 77,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,978.20 : 130,467.30 = 51,986.20 : x
  2. Step 2: Convert to fraction form
    86,978.20/130,467.30 = 51,986.20/x
  3. Step 3: Cross multiply
    86,978.20x = 130,467.30 × 51,986.20
  4. Step 4: Simplify right side
    86,978.20x = 6,782,499,151.26
  5. Step 5: Solve for x
    x = 6,782,499,151.26/86,978.20
  6. Step 6: Final answer
    x = 77,979.30

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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.