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Finding the Fourth Proportional to 86,820.24, 130,250 and 27,659.28

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Solution

The fourth proportional to 86,820.24, 130,250 and 27,659.28 is: 41,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,820.24 : 130,250 = 27,659.28 : x
  2. Step 2: Convert to fraction form
    86,820.24/130,250 = 27,659.28/x
  3. Step 3: Cross multiply
    86,820.24x = 130,250 × 27,659.28
  4. Step 4: Simplify right side
    86,820.24x = 3,602,621,220
  5. Step 5: Solve for x
    x = 3,602,621,220/86,820.24
  6. Step 6: Final answer
    x = 41,495.18

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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.