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Finding the Fourth Proportional to 65,782.68, 98,675.54 and 21,412.89

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Solution

The fourth proportional to 65,782.68, 98,675.54 and 21,412.89 is: 32,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,782.68 : 98,675.54 = 21,412.89 : x
  2. Step 2: Convert to fraction form
    65,782.68/98,675.54 = 21,412.89/x
  3. Step 3: Cross multiply
    65,782.68x = 98,675.54 × 21,412.89
  4. Step 4: Simplify right side
    65,782.68x = 2,112,928,933.46
  5. Step 5: Solve for x
    x = 2,112,928,933.46/65,782.68
  6. Step 6: Final answer
    x = 32,119.84

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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.