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Finding the Fourth Proportional to 258,889.06, 357,266.16 and 145,711.80

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Solution

The fourth proportional to 258,889.06, 357,266.16 and 145,711.80 is: 201,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,889.06 : 357,266.16 = 145,711.80 : x
  2. Step 2: Convert to fraction form
    258,889.06/357,266.16 = 145,711.80/x
  3. Step 3: Cross multiply
    258,889.06x = 357,266.16 × 145,711.80
  4. Step 4: Simplify right side
    258,889.06x = 52,057,895,252.69
  5. Step 5: Solve for x
    x = 52,057,895,252.69/258,889.06
  6. Step 6: Final answer
    x = 201,081.87

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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.