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Finding the Fourth Proportional to 136,961.80, 189,004.98 and 76,533.64

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Solution

The fourth proportional to 136,961.80, 189,004.98 and 76,533.64 is: 105,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,961.80 : 189,004.98 = 76,533.64 : x
  2. Step 2: Convert to fraction form
    136,961.80/189,004.98 = 76,533.64/x
  3. Step 3: Cross multiply
    136,961.80x = 189,004.98 × 76,533.64
  4. Step 4: Simplify right side
    136,961.80x = 14,465,239,097.53
  5. Step 5: Solve for x
    x = 14,465,239,097.53/136,961.80
  6. Step 6: Final answer
    x = 105,615.14

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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.