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Finding the Fourth Proportional to 115,412.88, 159,270.21 and 64,424.70

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Solution

The fourth proportional to 115,412.88, 159,270.21 and 64,424.70 is: 88,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,412.88 : 159,270.21 = 64,424.70 : x
  2. Step 2: Convert to fraction form
    115,412.88/159,270.21 = 64,424.70/x
  3. Step 3: Cross multiply
    115,412.88x = 159,270.21 × 64,424.70
  4. Step 4: Simplify right side
    115,412.88x = 10,260,935,498.19
  5. Step 5: Solve for x
    x = 10,260,935,498.19/115,412.88
  6. Step 6: Final answer
    x = 88,906.33

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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.