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Finding the Fourth Proportional to 136,728, 188,684.64 and 77,123.52

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Solution

The fourth proportional to 136,728, 188,684.64 and 77,123.52 is: 106,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,728 : 188,684.64 = 77,123.52 : x
  2. Step 2: Convert to fraction form
    136,728/188,684.64 = 77,123.52/x
  3. Step 3: Cross multiply
    136,728x = 188,684.64 × 77,123.52
  4. Step 4: Simplify right side
    136,728x = 14,552,023,606.73
  5. Step 5: Solve for x
    x = 14,552,023,606.73/136,728
  6. Step 6: Final answer
    x = 106,430.46

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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.