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Finding the Fourth Proportional to 125,191, 187,786.74 and 30,421.27

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Solution

The fourth proportional to 125,191, 187,786.74 and 30,421.27 is: 45,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,191 : 187,786.74 = 30,421.27 : x
  2. Step 2: Convert to fraction form
    125,191/187,786.74 = 30,421.27/x
  3. Step 3: Cross multiply
    125,191x = 187,786.74 × 30,421.27
  4. Step 4: Simplify right side
    125,191x = 5,712,711,119.96
  5. Step 5: Solve for x
    x = 5,712,711,119.96/125,191
  6. Step 6: Final answer
    x = 45,631.96

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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.