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Finding the Fourth Proportional to 70,849.89, 106,211.25 and 64,686.63

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Solution

The fourth proportional to 70,849.89, 106,211.25 and 64,686.63 is: 96,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,849.89 : 106,211.25 = 64,686.63 : x
  2. Step 2: Convert to fraction form
    70,849.89/106,211.25 = 64,686.63/x
  3. Step 3: Cross multiply
    70,849.89x = 106,211.25 × 64,686.63
  4. Step 4: Simplify right side
    70,849.89x = 6,870,448,228.88
  5. Step 5: Solve for x
    x = 6,870,448,228.88/70,849.89
  6. Step 6: Final answer
    x = 96,971.90

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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.