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Finding the Fourth Proportional to 70,648.50, 105,964.92 and 20,729.01

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Solution

The fourth proportional to 70,648.50, 105,964.92 and 20,729.01 is: 31,091.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,648.50 : 105,964.92 = 20,729.01 : x
  2. Step 2: Convert to fraction form
    70,648.50/105,964.92 = 20,729.01/x
  3. Step 3: Cross multiply
    70,648.50x = 105,964.92 × 20,729.01
  4. Step 4: Simplify right side
    70,648.50x = 2,196,547,886.33
  5. Step 5: Solve for x
    x = 2,196,547,886.33/70,648.50
  6. Step 6: Final answer
    x = 31,091.22

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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.