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Finding the Fourth Proportional to 105,659.30, 158,629.73 and 61,317.88

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Solution

The fourth proportional to 105,659.30, 158,629.73 and 61,317.88 is: 92,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,659.30 : 158,629.73 = 61,317.88 : x
  2. Step 2: Convert to fraction form
    105,659.30/158,629.73 = 61,317.88/x
  3. Step 3: Cross multiply
    105,659.30x = 158,629.73 × 61,317.88
  4. Step 4: Simplify right side
    105,659.30x = 9,726,838,045.41
  5. Step 5: Solve for x
    x = 9,726,838,045.41/105,659.30
  6. Step 6: Final answer
    x = 92,058.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.