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Finding the Fourth Proportional to 105,948, 158,994.90 and 43,618.50

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Solution

The fourth proportional to 105,948, 158,994.90 and 43,618.50 is: 65,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,948 : 158,994.90 = 43,618.50 : x
  2. Step 2: Convert to fraction form
    105,948/158,994.90 = 43,618.50/x
  3. Step 3: Cross multiply
    105,948x = 158,994.90 × 43,618.50
  4. Step 4: Simplify right side
    105,948x = 6,935,119,045.65
  5. Step 5: Solve for x
    x = 6,935,119,045.65/105,948
  6. Step 6: Final answer
    x = 65,457.76

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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.