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Finding the Fourth Proportional to 64,647.65, 96,971.46 and 20,278.28

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Solution

The fourth proportional to 64,647.65, 96,971.46 and 20,278.28 is: 30,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,647.65 : 96,971.46 = 20,278.28 : x
  2. Step 2: Convert to fraction form
    64,647.65/96,971.46 = 20,278.28/x
  3. Step 3: Cross multiply
    64,647.65x = 96,971.46 × 20,278.28
  4. Step 4: Simplify right side
    64,647.65x = 1,966,414,417.89
  5. Step 5: Solve for x
    x = 1,966,414,417.89/64,647.65
  6. Step 6: Final answer
    x = 30,417.42

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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.