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Finding the Fourth Proportional to 109,811.60, 164,720.60 and 39,678.48

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Solution

The fourth proportional to 109,811.60, 164,720.60 and 39,678.48 is: 59,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,811.60 : 164,720.60 = 39,678.48 : x
  2. Step 2: Convert to fraction form
    109,811.60/164,720.60 = 39,678.48/x
  3. Step 3: Cross multiply
    109,811.60x = 164,720.60 × 39,678.48
  4. Step 4: Simplify right side
    109,811.60x = 6,535,863,032.69
  5. Step 5: Solve for x
    x = 6,535,863,032.69/109,811.60
  6. Step 6: Final answer
    x = 59,518.88

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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.