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Finding the Fourth Proportional to 97,112.80, 145,609.80 and 37,880.20

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Solution

The fourth proportional to 97,112.80, 145,609.80 and 37,880.20 is: 56,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,112.80 : 145,609.80 = 37,880.20 : x
  2. Step 2: Convert to fraction form
    97,112.80/145,609.80 = 37,880.20/x
  3. Step 3: Cross multiply
    97,112.80x = 145,609.80 × 37,880.20
  4. Step 4: Simplify right side
    97,112.80x = 5,515,728,345.96
  5. Step 5: Solve for x
    x = 5,515,728,345.96/97,112.80
  6. Step 6: Final answer
    x = 56,797.13

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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.