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Finding the Fourth Proportional to 115,315.76, 159,135.96 and 65,014.64

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Solution

The fourth proportional to 115,315.76, 159,135.96 and 65,014.64 is: 89,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,315.76 : 159,135.96 = 65,014.64 : x
  2. Step 2: Convert to fraction form
    115,315.76/159,135.96 = 65,014.64/x
  3. Step 3: Cross multiply
    115,315.76x = 159,135.96 × 65,014.64
  4. Step 4: Simplify right side
    115,315.76x = 10,346,167,150.45
  5. Step 5: Solve for x
    x = 10,346,167,150.45/115,315.76
  6. Step 6: Final answer
    x = 89,720.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.