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Finding the Fourth Proportional to 258,973.20, 357,381.72 and 145,796.76

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Solution

The fourth proportional to 258,973.20, 357,381.72 and 145,796.76 is: 201,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,973.20 : 357,381.72 = 145,796.76 : x
  2. Step 2: Convert to fraction form
    258,973.20/357,381.72 = 145,796.76/x
  3. Step 3: Cross multiply
    258,973.20x = 357,381.72 × 145,796.76
  4. Step 4: Simplify right side
    258,973.20x = 52,105,096,859.23
  5. Step 5: Solve for x
    x = 52,105,096,859.23/258,973.20
  6. Step 6: Final answer
    x = 201,198.80

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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.