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Finding the Fourth Proportional to 65,688.64, 98,532.89 and 21,315.39

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Solution

The fourth proportional to 65,688.64, 98,532.89 and 21,315.39 is: 31,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,688.64 : 98,532.89 = 21,315.39 : x
  2. Step 2: Convert to fraction form
    65,688.64/98,532.89 = 21,315.39/x
  3. Step 3: Cross multiply
    65,688.64x = 98,532.89 × 21,315.39
  4. Step 4: Simplify right side
    65,688.64x = 2,100,266,582.03
  5. Step 5: Solve for x
    x = 2,100,266,582.03/65,688.64
  6. Step 6: Final answer
    x = 31,973.06

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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.