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Finding the Fourth Proportional to 129,980.19, 194,820.84 and 59,711.88

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Solution

The fourth proportional to 129,980.19, 194,820.84 and 59,711.88 is: 89,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,980.19 : 194,820.84 = 59,711.88 : x
  2. Step 2: Convert to fraction form
    129,980.19/194,820.84 = 59,711.88/x
  3. Step 3: Cross multiply
    129,980.19x = 194,820.84 × 59,711.88
  4. Step 4: Simplify right side
    129,980.19x = 11,633,118,619.58
  5. Step 5: Solve for x
    x = 11,633,118,619.58/129,980.19
  6. Step 6: Final answer
    x = 89,499.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.