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Finding the Fourth Proportional to 86,843.16, 129,968.76 and 72,819

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Solution

The fourth proportional to 86,843.16, 129,968.76 and 72,819 is: 108,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,843.16 : 129,968.76 = 72,819 : x
  2. Step 2: Convert to fraction form
    86,843.16/129,968.76 = 72,819/x
  3. Step 3: Cross multiply
    86,843.16x = 129,968.76 × 72,819
  4. Step 4: Simplify right side
    86,843.16x = 9,464,195,134.44
  5. Step 5: Solve for x
    x = 9,464,195,134.44/86,843.16
  6. Step 6: Final answer
    x = 108,980.32

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1.5x scale

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.