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Finding the Fourth Proportional to 145,654.44, 218,428.76 and 50,858

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Solution

The fourth proportional to 145,654.44, 218,428.76 and 50,858 is: 76,268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,654.44 : 218,428.76 = 50,858 : x
  2. Step 2: Convert to fraction form
    145,654.44/218,428.76 = 50,858/x
  3. Step 3: Cross multiply
    145,654.44x = 218,428.76 × 50,858
  4. Step 4: Simplify right side
    145,654.44x = 11,108,849,876.08
  5. Step 5: Solve for x
    x = 11,108,849,876.08/145,654.44
  6. Step 6: Final answer
    x = 76,268.53

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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.