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Finding the Fourth Proportional to 115,482.64, 159,364.84 and 65,183.76

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Solution

The fourth proportional to 115,482.64, 159,364.84 and 65,183.76 is: 89,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,482.64 : 159,364.84 = 65,183.76 : x
  2. Step 2: Convert to fraction form
    115,482.64/159,364.84 = 65,183.76/x
  3. Step 3: Cross multiply
    115,482.64x = 159,364.84 × 65,183.76
  4. Step 4: Simplify right side
    115,482.64x = 10,387,999,483.00
  5. Step 5: Solve for x
    x = 10,387,999,483.00/115,482.64
  6. Step 6: Final answer
    x = 89,952.91

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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.