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Finding the Fourth Proportional to 70,648.94, 105,988.06 and 20,730.67

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Solution

The fourth proportional to 70,648.94, 105,988.06 and 20,730.67 is: 31,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,648.94 : 105,988.06 = 20,730.67 : x
  2. Step 2: Convert to fraction form
    70,648.94/105,988.06 = 20,730.67/x
  3. Step 3: Cross multiply
    70,648.94x = 105,988.06 × 20,730.67
  4. Step 4: Simplify right side
    70,648.94x = 2,197,203,256.74
  5. Step 5: Solve for x
    x = 2,197,203,256.74/70,648.94
  6. Step 6: Final answer
    x = 31,100.30

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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.