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Finding the Fourth Proportional to 136,508.34, 188,396.80 and 76,084.50

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Solution

The fourth proportional to 136,508.34, 188,396.80 and 76,084.50 is: 105,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,508.34 : 188,396.80 = 76,084.50 : x
  2. Step 2: Convert to fraction form
    136,508.34/188,396.80 = 76,084.50/x
  3. Step 3: Cross multiply
    136,508.34x = 188,396.80 × 76,084.50
  4. Step 4: Simplify right side
    136,508.34x = 14,334,076,329.60
  5. Step 5: Solve for x
    x = 14,334,076,329.60/136,508.34
  6. Step 6: Final answer
    x = 105,005.13

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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.