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Finding the Fourth Proportional to 115,508, 159,399.30 and 64,521.64

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Solution

The fourth proportional to 115,508, 159,399.30 and 64,521.64 is: 89,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,508 : 159,399.30 = 64,521.64 : x
  2. Step 2: Convert to fraction form
    115,508/159,399.30 = 64,521.64/x
  3. Step 3: Cross multiply
    115,508x = 159,399.30 × 64,521.64
  4. Step 4: Simplify right side
    115,508x = 10,284,704,250.85
  5. Step 5: Solve for x
    x = 10,284,704,250.85/115,508
  6. Step 6: Final answer
    x = 89,038.89

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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.