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Finding the Fourth Proportional to 86,025.10, 128,978.70 and 43,823.48

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Solution

The fourth proportional to 86,025.10, 128,978.70 and 43,823.48 is: 65,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,025.10 : 128,978.70 = 43,823.48 : x
  2. Step 2: Convert to fraction form
    86,025.10/128,978.70 = 43,823.48/x
  3. Step 3: Cross multiply
    86,025.10x = 128,978.70 × 43,823.48
  4. Step 4: Simplify right side
    86,025.10x = 5,652,295,479.88
  5. Step 5: Solve for x
    x = 5,652,295,479.88/86,025.10
  6. Step 6: Final answer
    x = 65,705.19

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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.