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Finding the Fourth Proportional to 70,201, 105,301.50 and 20,953

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Solution

The fourth proportional to 70,201, 105,301.50 and 20,953 is: 31,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,201 : 105,301.50 = 20,953 : x
  2. Step 2: Convert to fraction form
    70,201/105,301.50 = 20,953/x
  3. Step 3: Cross multiply
    70,201x = 105,301.50 × 20,953
  4. Step 4: Simplify right side
    70,201x = 2,206,382,329.50
  5. Step 5: Solve for x
    x = 2,206,382,329.50/70,201
  6. Step 6: Final answer
    x = 31,429.50

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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.