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Finding the Fourth Proportional to 115,465.36, 159,346.68 and 65,164.24

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Solution

The fourth proportional to 115,465.36, 159,346.68 and 65,164.24 is: 89,929.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,465.36 : 159,346.68 = 65,164.24 : x
  2. Step 2: Convert to fraction form
    115,465.36/159,346.68 = 65,164.24/x
  3. Step 3: Cross multiply
    115,465.36x = 159,346.68 × 65,164.24
  4. Step 4: Simplify right side
    115,465.36x = 10,383,705,298.72
  5. Step 5: Solve for x
    x = 10,383,705,298.72/115,465.36
  6. Step 6: Final answer
    x = 89,929.18

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1.5x scale

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.