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Finding the Fourth Proportional to 70,426.40, 105,629.67 and 26,045.69

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Solution

The fourth proportional to 70,426.40, 105,629.67 and 26,045.69 is: 39,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,426.40 : 105,629.67 = 26,045.69 : x
  2. Step 2: Convert to fraction form
    70,426.40/105,629.67 = 26,045.69/x
  3. Step 3: Cross multiply
    70,426.40x = 105,629.67 × 26,045.69
  4. Step 4: Simplify right side
    70,426.40x = 2,751,197,111.47
  5. Step 5: Solve for x
    x = 2,751,197,111.47/70,426.40
  6. Step 6: Final answer
    x = 39,064.86

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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.