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Finding the Fourth Proportional to 115,708.83, 159,632.55 and 72,663

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Solution

The fourth proportional to 115,708.83, 159,632.55 and 72,663 is: 100,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,708.83 : 159,632.55 = 72,663 : x
  2. Step 2: Convert to fraction form
    115,708.83/159,632.55 = 72,663/x
  3. Step 3: Cross multiply
    115,708.83x = 159,632.55 × 72,663
  4. Step 4: Simplify right side
    115,708.83x = 11,599,379,980.65
  5. Step 5: Solve for x
    x = 11,599,379,980.65/115,708.83
  6. Step 6: Final answer
    x = 100,246.28

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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.