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Finding the Fourth Proportional to 115,722.68, 159,689.77 and 64,726.57

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Solution

The fourth proportional to 115,722.68, 159,689.77 and 64,726.57 is: 89,318.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,722.68 : 159,689.77 = 64,726.57 : x
  2. Step 2: Convert to fraction form
    115,722.68/159,689.77 = 64,726.57/x
  3. Step 3: Cross multiply
    115,722.68x = 159,689.77 × 64,726.57
  4. Step 4: Simplify right side
    115,722.68x = 10,336,171,076.19
  5. Step 5: Solve for x
    x = 10,336,171,076.19/115,722.68
  6. Step 6: Final answer
    x = 89,318.46

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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.