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Finding the Fourth Proportional to 136,618, 188,534.28 and 77,002

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Solution

The fourth proportional to 136,618, 188,534.28 and 77,002 is: 106,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,618 : 188,534.28 = 77,002 : x
  2. Step 2: Convert to fraction form
    136,618/188,534.28 = 77,002/x
  3. Step 3: Cross multiply
    136,618x = 188,534.28 × 77,002
  4. Step 4: Simplify right side
    136,618x = 14,517,516,628.56
  5. Step 5: Solve for x
    x = 14,517,516,628.56/136,618
  6. Step 6: Final answer
    x = 106,263.57

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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.