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Finding the Fourth Proportional to 105,955.76, 146,219.28 and 58,212.20

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Solution

The fourth proportional to 105,955.76, 146,219.28 and 58,212.20 is: 80,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,955.76 : 146,219.28 = 58,212.20 : x
  2. Step 2: Convert to fraction form
    105,955.76/146,219.28 = 58,212.20/x
  3. Step 3: Cross multiply
    105,955.76x = 146,219.28 × 58,212.20
  4. Step 4: Simplify right side
    105,955.76x = 8,511,745,971.22
  5. Step 5: Solve for x
    x = 8,511,745,971.22/105,955.76
  6. Step 6: Final answer
    x = 80,333.02

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1.5x scale

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.