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Finding the Fourth Proportional to 70,478.48, 105,684.24 and 40,905.38

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Solution

The fourth proportional to 70,478.48, 105,684.24 and 40,905.38 is: 61,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,478.48 : 105,684.24 = 40,905.38 : x
  2. Step 2: Convert to fraction form
    70,478.48/105,684.24 = 40,905.38/x
  3. Step 3: Cross multiply
    70,478.48x = 105,684.24 × 40,905.38
  4. Step 4: Simplify right side
    70,478.48x = 4,323,053,997.21
  5. Step 5: Solve for x
    x = 4,323,053,997.21/70,478.48
  6. Step 6: Final answer
    x = 61,338.64

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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.