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Finding the Fourth Proportional to 65,830.52, 98,735.64 and 21,457.16

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Solution

The fourth proportional to 65,830.52, 98,735.64 and 21,457.16 is: 32,182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.52 : 98,735.64 = 21,457.16 : x
  2. Step 2: Convert to fraction form
    65,830.52/98,735.64 = 21,457.16/x
  3. Step 3: Cross multiply
    65,830.52x = 98,735.64 × 21,457.16
  4. Step 4: Simplify right side
    65,830.52x = 2,118,586,425.18
  5. Step 5: Solve for x
    x = 2,118,586,425.18/65,830.52
  6. Step 6: Final answer
    x = 32,182.43

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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.