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Finding the Fourth Proportional to 129,978.19, 194,817.84 and 59,709.88

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Solution

The fourth proportional to 129,978.19, 194,817.84 and 59,709.88 is: 89,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,978.19 : 194,817.84 = 59,709.88 : x
  2. Step 2: Convert to fraction form
    129,978.19/194,817.84 = 59,709.88/x
  3. Step 3: Cross multiply
    129,978.19x = 194,817.84 × 59,709.88
  4. Step 4: Simplify right side
    129,978.19x = 11,632,549,848.26
  5. Step 5: Solve for x
    x = 11,632,549,848.26/129,978.19
  6. Step 6: Final answer
    x = 89,496.17

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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.