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Finding the Fourth Proportional to 105,991.40, 146,194.08 and 89,965.28

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Solution

The fourth proportional to 105,991.40, 146,194.08 and 89,965.28 is: 124,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991.40 : 146,194.08 = 89,965.28 : x
  2. Step 2: Convert to fraction form
    105,991.40/146,194.08 = 89,965.28/x
  3. Step 3: Cross multiply
    105,991.40x = 146,194.08 × 89,965.28
  4. Step 4: Simplify right side
    105,991.40x = 13,152,391,341.54
  5. Step 5: Solve for x
    x = 13,152,391,341.54/105,991.40
  6. Step 6: Final answer
    x = 124,089.23

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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.