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Finding the Fourth Proportional to 120,706.69, 181,066.95 and 31,957.89

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Solution

The fourth proportional to 120,706.69, 181,066.95 and 31,957.89 is: 47,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,706.69 : 181,066.95 = 31,957.89 : x
  2. Step 2: Convert to fraction form
    120,706.69/181,066.95 = 31,957.89/x
  3. Step 3: Cross multiply
    120,706.69x = 181,066.95 × 31,957.89
  4. Step 4: Simplify right side
    120,706.69x = 5,786,516,991.73
  5. Step 5: Solve for x
    x = 5,786,516,991.73/120,706.69
  6. Step 6: Final answer
    x = 47,938.66

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1.5x scale

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.