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Finding the Fourth Proportional to 129,705.95, 194,564.88 and 39,742.22

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Solution

The fourth proportional to 129,705.95, 194,564.88 and 39,742.22 is: 59,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705.95 : 194,564.88 = 39,742.22 : x
  2. Step 2: Convert to fraction form
    129,705.95/194,564.88 = 39,742.22/x
  3. Step 3: Cross multiply
    129,705.95x = 194,564.88 × 39,742.22
  4. Step 4: Simplify right side
    129,705.95x = 7,732,439,292.41
  5. Step 5: Solve for x
    x = 7,732,439,292.41/129,705.95
  6. Step 6: Final answer
    x = 59,615.15

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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.