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Finding the Fourth Proportional to 218,992.95, 302,101.65 and 141,441.93

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Solution

The fourth proportional to 218,992.95, 302,101.65 and 141,441.93 is: 195,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,992.95 : 302,101.65 = 141,441.93 : x
  2. Step 2: Convert to fraction form
    218,992.95/302,101.65 = 141,441.93/x
  3. Step 3: Cross multiply
    218,992.95x = 302,101.65 × 141,441.93
  4. Step 4: Simplify right side
    218,992.95x = 42,729,840,432.18
  5. Step 5: Solve for x
    x = 42,729,840,432.18/218,992.95
  6. Step 6: Final answer
    x = 195,119.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.