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Finding the Fourth Proportional to 70,525.78, 105,789.06 and 17,935.30

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Solution

The fourth proportional to 70,525.78, 105,789.06 and 17,935.30 is: 26,903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,525.78 : 105,789.06 = 17,935.30 : x
  2. Step 2: Convert to fraction form
    70,525.78/105,789.06 = 17,935.30/x
  3. Step 3: Cross multiply
    70,525.78x = 105,789.06 × 17,935.30
  4. Step 4: Simplify right side
    70,525.78x = 1,897,358,527.82
  5. Step 5: Solve for x
    x = 1,897,358,527.82/70,525.78
  6. Step 6: Final answer
    x = 26,903.05

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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.