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Finding the Fourth Proportional to 97,824.64, 146,616 and 55,740

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Solution

The fourth proportional to 97,824.64, 146,616 and 55,740 is: 83,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,824.64 : 146,616 = 55,740 : x
  2. Step 2: Convert to fraction form
    97,824.64/146,616 = 55,740/x
  3. Step 3: Cross multiply
    97,824.64x = 146,616 × 55,740
  4. Step 4: Simplify right side
    97,824.64x = 8,172,375,840
  5. Step 5: Solve for x
    x = 8,172,375,840/97,824.64
  6. Step 6: Final answer
    x = 83,541.08

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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.