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Finding the Fourth Proportional to 70,456.91, 105,420.29 and 49,438.01

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Solution

The fourth proportional to 70,456.91, 105,420.29 and 49,438.01 is: 73,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,456.91 : 105,420.29 = 49,438.01 : x
  2. Step 2: Convert to fraction form
    70,456.91/105,420.29 = 49,438.01/x
  3. Step 3: Cross multiply
    70,456.91x = 105,420.29 × 49,438.01
  4. Step 4: Simplify right side
    70,456.91x = 5,211,769,367.58
  5. Step 5: Solve for x
    x = 5,211,769,367.58/70,456.91
  6. Step 6: Final answer
    x = 73,971.02

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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.