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Finding the Fourth Proportional to 70,259.94, 105,431.40 and 25,917.66

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Solution

The fourth proportional to 70,259.94, 105,431.40 and 25,917.66 is: 38,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,259.94 : 105,431.40 = 25,917.66 : x
  2. Step 2: Convert to fraction form
    70,259.94/105,431.40 = 25,917.66/x
  3. Step 3: Cross multiply
    70,259.94x = 105,431.40 × 25,917.66
  4. Step 4: Simplify right side
    70,259.94x = 2,732,535,178.52
  5. Step 5: Solve for x
    x = 2,732,535,178.52/70,259.94
  6. Step 6: Final answer
    x = 38,891.79

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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.