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Finding the Fourth Proportional to 99,209, 136,917.60 and 54,505.64

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Solution

The fourth proportional to 99,209, 136,917.60 and 54,505.64 is: 75,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,209 : 136,917.60 = 54,505.64 : x
  2. Step 2: Convert to fraction form
    99,209/136,917.60 = 54,505.64/x
  3. Step 3: Cross multiply
    99,209x = 136,917.60 × 54,505.64
  4. Step 4: Simplify right side
    99,209x = 7,462,781,415.26
  5. Step 5: Solve for x
    x = 7,462,781,415.26/99,209
  6. Step 6: Final answer
    x = 75,222.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.