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Finding the Fourth Proportional to 115,796, 159,798.48 and 65,493.92

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Solution

The fourth proportional to 115,796, 159,798.48 and 65,493.92 is: 90,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,796 : 159,798.48 = 65,493.92 : x
  2. Step 2: Convert to fraction form
    115,796/159,798.48 = 65,493.92/x
  3. Step 3: Cross multiply
    115,796x = 159,798.48 × 65,493.92
  4. Step 4: Simplify right side
    115,796x = 10,465,828,865.24
  5. Step 5: Solve for x
    x = 10,465,828,865.24/115,796
  6. Step 6: Final answer
    x = 90,381.61

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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.