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Finding the Fourth Proportional to 164,543.40, 246,815.10 and 81,426.60

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Solution

The fourth proportional to 164,543.40, 246,815.10 and 81,426.60 is: 122,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,543.40 : 246,815.10 = 81,426.60 : x
  2. Step 2: Convert to fraction form
    164,543.40/246,815.10 = 81,426.60/x
  3. Step 3: Cross multiply
    164,543.40x = 246,815.10 × 81,426.60
  4. Step 4: Simplify right side
    164,543.40x = 20,097,314,421.66
  5. Step 5: Solve for x
    x = 20,097,314,421.66/164,543.40
  6. Step 6: Final answer
    x = 122,139.90

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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.