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Finding the Fourth Proportional to 129,740.42, 194,616.42 and 39,776.66

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Solution

The fourth proportional to 129,740.42, 194,616.42 and 39,776.66 is: 59,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,740.42 : 194,616.42 = 39,776.66 : x
  2. Step 2: Convert to fraction form
    129,740.42/194,616.42 = 39,776.66/x
  3. Step 3: Cross multiply
    129,740.42x = 194,616.42 × 39,776.66
  4. Step 4: Simplify right side
    129,740.42x = 7,741,191,168.76
  5. Step 5: Solve for x
    x = 7,741,191,168.76/129,740.42
  6. Step 6: Final answer
    x = 59,666.77

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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.