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Finding the Fourth Proportional to 98,478.72, 135,889.92 and 56,033.28

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Solution

The fourth proportional to 98,478.72, 135,889.92 and 56,033.28 is: 77,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478.72 : 135,889.92 = 56,033.28 : x
  2. Step 2: Convert to fraction form
    98,478.72/135,889.92 = 56,033.28/x
  3. Step 3: Cross multiply
    98,478.72x = 135,889.92 × 56,033.28
  4. Step 4: Simplify right side
    98,478.72x = 7,614,357,936.54
  5. Step 5: Solve for x
    x = 7,614,357,936.54/98,478.72
  6. Step 6: Final answer
    x = 77,319.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.