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Finding the Fourth Proportional to 105,726.50, 145,889.16 and 57,967.28

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Solution

The fourth proportional to 105,726.50, 145,889.16 and 57,967.28 is: 79,987.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,726.50 : 145,889.16 = 57,967.28 : x
  2. Step 2: Convert to fraction form
    105,726.50/145,889.16 = 57,967.28/x
  3. Step 3: Cross multiply
    105,726.50x = 145,889.16 × 57,967.28
  4. Step 4: Simplify right side
    105,726.50x = 8,456,797,786.68
  5. Step 5: Solve for x
    x = 8,456,797,786.68/105,726.50
  6. Step 6: Final answer
    x = 79,987.49

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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.