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Finding the Fourth Proportional to 86,617, 129,929.28 and 27,457.03

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Solution

The fourth proportional to 86,617, 129,929.28 and 27,457.03 is: 41,186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,617 : 129,929.28 = 27,457.03 : x
  2. Step 2: Convert to fraction form
    86,617/129,929.28 = 27,457.03/x
  3. Step 3: Cross multiply
    86,617x = 129,929.28 × 27,457.03
  4. Step 4: Simplify right side
    86,617x = 3,567,472,138.84
  5. Step 5: Solve for x
    x = 3,567,472,138.84/86,617
  6. Step 6: Final answer
    x = 41,186.74

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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.