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Finding the Fourth Proportional to 91,784.96, 126,664.68 and 50,948

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Solution

The fourth proportional to 91,784.96, 126,664.68 and 50,948 is: 70,309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,784.96 : 126,664.68 = 50,948 : x
  2. Step 2: Convert to fraction form
    91,784.96/126,664.68 = 50,948/x
  3. Step 3: Cross multiply
    91,784.96x = 126,664.68 × 50,948
  4. Step 4: Simplify right side
    91,784.96x = 6,453,312,116.64
  5. Step 5: Solve for x
    x = 6,453,312,116.64/91,784.96
  6. Step 6: Final answer
    x = 70,309.04

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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.