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Finding the Fourth Proportional to 115,315.36, 159,135 and 65,014.40

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Solution

The fourth proportional to 115,315.36, 159,135 and 65,014.40 is: 89,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,315.36 : 159,135 = 65,014.40 : x
  2. Step 2: Convert to fraction form
    115,315.36/159,135 = 65,014.40/x
  3. Step 3: Cross multiply
    115,315.36x = 159,135 × 65,014.40
  4. Step 4: Simplify right side
    115,315.36x = 10,346,066,544
  5. Step 5: Solve for x
    x = 10,346,066,544/115,315.36
  6. Step 6: Final answer
    x = 89,719.76

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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.