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Finding the Fourth Proportional to 85,985.10, 128,978.46 and 26,014.05

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Solution

The fourth proportional to 85,985.10, 128,978.46 and 26,014.05 is: 39,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,985.10 : 128,978.46 = 26,014.05 : x
  2. Step 2: Convert to fraction form
    85,985.10/128,978.46 = 26,014.05/x
  3. Step 3: Cross multiply
    85,985.10x = 128,978.46 × 26,014.05
  4. Step 4: Simplify right side
    85,985.10x = 3,355,252,107.36
  5. Step 5: Solve for x
    x = 3,355,252,107.36/85,985.10
  6. Step 6: Final answer
    x = 39,021.32

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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.