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Finding the Fourth Proportional to 115,412.50, 159,271.92 and 72,393.80

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Solution

The fourth proportional to 115,412.50, 159,271.92 and 72,393.80 is: 99,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,412.50 : 159,271.92 = 72,393.80 : x
  2. Step 2: Convert to fraction form
    115,412.50/159,271.92 = 72,393.80/x
  3. Step 3: Cross multiply
    115,412.50x = 159,271.92 × 72,393.80
  4. Step 4: Simplify right side
    115,412.50x = 11,530,299,621.64
  5. Step 5: Solve for x
    x = 11,530,299,621.64/115,412.50
  6. Step 6: Final answer
    x = 99,905.12

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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.