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Finding the Fourth Proportional to 109,999.80, 164,999.70 and 53,848.58

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Solution

The fourth proportional to 109,999.80, 164,999.70 and 53,848.58 is: 80,772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,999.80 : 164,999.70 = 53,848.58 : x
  2. Step 2: Convert to fraction form
    109,999.80/164,999.70 = 53,848.58/x
  3. Step 3: Cross multiply
    109,999.80x = 164,999.70 × 53,848.58
  4. Step 4: Simplify right side
    109,999.80x = 8,884,998,720.43
  5. Step 5: Solve for x
    x = 8,884,998,720.43/109,999.80
  6. Step 6: Final answer
    x = 80,772.86

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1.5x scale

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.