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Finding the Fourth Proportional to 136,825.67, 188,820 and 76,392.78

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Solution

The fourth proportional to 136,825.67, 188,820 and 76,392.78 is: 105,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,825.67 : 188,820 = 76,392.78 : x
  2. Step 2: Convert to fraction form
    136,825.67/188,820 = 76,392.78/x
  3. Step 3: Cross multiply
    136,825.67x = 188,820 × 76,392.78
  4. Step 4: Simplify right side
    136,825.67x = 14,424,484,719.60
  5. Step 5: Solve for x
    x = 14,424,484,719.60/136,825.67
  6. Step 6: Final answer
    x = 105,422.36

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1.5x scale

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.