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Finding the Fourth Proportional to 136,820.96, 188,811.14 and 76,392.63

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Solution

The fourth proportional to 136,820.96, 188,811.14 and 76,392.63 is: 105,420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,820.96 : 188,811.14 = 76,392.63 : x
  2. Step 2: Convert to fraction form
    136,820.96/188,811.14 = 76,392.63/x
  3. Step 3: Cross multiply
    136,820.96x = 188,811.14 × 76,392.63
  4. Step 4: Simplify right side
    136,820.96x = 14,423,779,175.94
  5. Step 5: Solve for x
    x = 14,423,779,175.94/136,820.96
  6. Step 6: Final answer
    x = 105,420.83

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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.