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Finding the Fourth Proportional to 165,605.40, 248,408.10 and 40,946.40

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Solution

The fourth proportional to 165,605.40, 248,408.10 and 40,946.40 is: 61,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,605.40 : 248,408.10 = 40,946.40 : x
  2. Step 2: Convert to fraction form
    165,605.40/248,408.10 = 40,946.40/x
  3. Step 3: Cross multiply
    165,605.40x = 248,408.10 × 40,946.40
  4. Step 4: Simplify right side
    165,605.40x = 10,171,417,425.84
  5. Step 5: Solve for x
    x = 10,171,417,425.84/165,605.40
  6. Step 6: Final answer
    x = 61,419.60

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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.