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Finding the Fourth Proportional to 100,048.56, 149,964.84 and 65,013.36

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Solution

The fourth proportional to 100,048.56, 149,964.84 and 65,013.36 is: 97,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,048.56 : 149,964.84 = 65,013.36 : x
  2. Step 2: Convert to fraction form
    100,048.56/149,964.84 = 65,013.36/x
  3. Step 3: Cross multiply
    100,048.56x = 149,964.84 × 65,013.36
  4. Step 4: Simplify right side
    100,048.56x = 9,749,718,130.26
  5. Step 5: Solve for x
    x = 9,749,718,130.26/100,048.56
  6. Step 6: Final answer
    x = 97,449.86

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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.