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Finding the Fourth Proportional to 115,987.50, 174,003.12 and 53,658

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Solution

The fourth proportional to 115,987.50, 174,003.12 and 53,658 is: 80,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,987.50 : 174,003.12 = 53,658 : x
  2. Step 2: Convert to fraction form
    115,987.50/174,003.12 = 53,658/x
  3. Step 3: Cross multiply
    115,987.50x = 174,003.12 × 53,658
  4. Step 4: Simplify right side
    115,987.50x = 9,336,659,412.96
  5. Step 5: Solve for x
    x = 9,336,659,412.96/115,987.50
  6. Step 6: Final answer
    x = 80,497.12

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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.