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Finding the Fourth Proportional to 129,706.51, 194,565.73 and 39,742.78

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Solution

The fourth proportional to 129,706.51, 194,565.73 and 39,742.78 is: 59,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706.51 : 194,565.73 = 39,742.78 : x
  2. Step 2: Convert to fraction form
    129,706.51/194,565.73 = 39,742.78/x
  3. Step 3: Cross multiply
    129,706.51x = 194,565.73 × 39,742.78
  4. Step 4: Simplify right side
    129,706.51x = 7,732,583,002.93
  5. Step 5: Solve for x
    x = 7,732,583,002.93/129,706.51
  6. Step 6: Final answer
    x = 59,616.00

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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.