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Finding the Fourth Proportional to 109,630, 164,346.36 and 39,460

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Solution

The fourth proportional to 109,630, 164,346.36 and 39,460 is: 59,154.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,630 : 164,346.36 = 39,460 : x
  2. Step 2: Convert to fraction form
    109,630/164,346.36 = 39,460/x
  3. Step 3: Cross multiply
    109,630x = 164,346.36 × 39,460
  4. Step 4: Simplify right side
    109,630x = 6,485,107,365.60
  5. Step 5: Solve for x
    x = 6,485,107,365.60/109,630
  6. Step 6: Final answer
    x = 59,154.50

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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.