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Finding the Fourth Proportional to 136,461.30, 188,330.46 and 76,041.78

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Solution

The fourth proportional to 136,461.30, 188,330.46 and 76,041.78 is: 104,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,461.30 : 188,330.46 = 76,041.78 : x
  2. Step 2: Convert to fraction form
    136,461.30/188,330.46 = 76,041.78/x
  3. Step 3: Cross multiply
    136,461.30x = 188,330.46 × 76,041.78
  4. Step 4: Simplify right side
    136,461.30x = 14,320,983,406.62
  5. Step 5: Solve for x
    x = 14,320,983,406.62/136,461.30
  6. Step 6: Final answer
    x = 104,945.38

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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.