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Finding the Fourth Proportional to 65,665.10, 98,509.80 and 21,293.30

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Solution

The fourth proportional to 65,665.10, 98,509.80 and 21,293.30 is: 31,943.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,665.10 : 98,509.80 = 21,293.30 : x
  2. Step 2: Convert to fraction form
    65,665.10/98,509.80 = 21,293.30/x
  3. Step 3: Cross multiply
    65,665.10x = 98,509.80 × 21,293.30
  4. Step 4: Simplify right side
    65,665.10x = 2,097,598,724.34
  5. Step 5: Solve for x
    x = 2,097,598,724.34/65,665.10
  6. Step 6: Final answer
    x = 31,943.89

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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.