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Finding the Fourth Proportional to 136,945.84, 205,418.72 and 51,572.76

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Solution

The fourth proportional to 136,945.84, 205,418.72 and 51,572.76 is: 77,359.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,945.84 : 205,418.72 = 51,572.76 : x
  2. Step 2: Convert to fraction form
    136,945.84/205,418.72 = 51,572.76/x
  3. Step 3: Cross multiply
    136,945.84x = 205,418.72 × 51,572.76
  4. Step 4: Simplify right side
    136,945.84x = 10,594,010,346.07
  5. Step 5: Solve for x
    x = 10,594,010,346.07/136,945.84
  6. Step 6: Final answer
    x = 77,359.12

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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.