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Finding the Fourth Proportional to 115,908.74, 159,943.30 and 65,607.74

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Solution

The fourth proportional to 115,908.74, 159,943.30 and 65,607.74 is: 90,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,908.74 : 159,943.30 = 65,607.74 : x
  2. Step 2: Convert to fraction form
    115,908.74/159,943.30 = 65,607.74/x
  3. Step 3: Cross multiply
    115,908.74x = 159,943.30 × 65,607.74
  4. Step 4: Simplify right side
    115,908.74x = 10,493,518,441.14
  5. Step 5: Solve for x
    x = 10,493,518,441.14/115,908.74
  6. Step 6: Final answer
    x = 90,532.59

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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.