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Finding the Fourth Proportional to 164,538.40, 246,807.60 and 81,421.60

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Solution

The fourth proportional to 164,538.40, 246,807.60 and 81,421.60 is: 122,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,538.40 : 246,807.60 = 81,421.60 : x
  2. Step 2: Convert to fraction form
    164,538.40/246,807.60 = 81,421.60/x
  3. Step 3: Cross multiply
    164,538.40x = 246,807.60 × 81,421.60
  4. Step 4: Simplify right side
    164,538.40x = 20,095,469,684.16
  5. Step 5: Solve for x
    x = 20,095,469,684.16/164,538.40
  6. Step 6: Final answer
    x = 122,132.40

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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.