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Finding the Fourth Proportional to 136,930.68, 188,968.19 and 76,507.98

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Solution

The fourth proportional to 136,930.68, 188,968.19 and 76,507.98 is: 105,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,930.68 : 188,968.19 = 76,507.98 : x
  2. Step 2: Convert to fraction form
    136,930.68/188,968.19 = 76,507.98/x
  3. Step 3: Cross multiply
    136,930.68x = 188,968.19 × 76,507.98
  4. Step 4: Simplify right side
    136,930.68x = 14,457,574,118.62
  5. Step 5: Solve for x
    x = 14,457,574,118.62/136,930.68
  6. Step 6: Final answer
    x = 105,583.16

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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.