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Finding the Fourth Proportional to 109,380.48, 164,071.52 and 39,260.40

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Solution

The fourth proportional to 109,380.48, 164,071.52 and 39,260.40 is: 58,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,380.48 : 164,071.52 = 39,260.40 : x
  2. Step 2: Convert to fraction form
    109,380.48/164,071.52 = 39,260.40/x
  3. Step 3: Cross multiply
    109,380.48x = 164,071.52 × 39,260.40
  4. Step 4: Simplify right side
    109,380.48x = 6,441,513,503.81
  5. Step 5: Solve for x
    x = 6,441,513,503.81/109,380.48
  6. Step 6: Final answer
    x = 58,890.89

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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.