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Finding the Fourth Proportional to 259,171.95, 357,654.56 and 145,994.43

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Solution

The fourth proportional to 259,171.95, 357,654.56 and 145,994.43 is: 201,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,171.95 : 357,654.56 = 145,994.43 : x
  2. Step 2: Convert to fraction form
    259,171.95/357,654.56 = 145,994.43/x
  3. Step 3: Cross multiply
    259,171.95x = 357,654.56 × 145,994.43
  4. Step 4: Simplify right side
    259,171.95x = 52,215,572,894.13
  5. Step 5: Solve for x
    x = 52,215,572,894.13/259,171.95
  6. Step 6: Final answer
    x = 201,470.77

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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.