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Finding the Fourth Proportional to 258,896.48, 357,281.15 and 145,719.23

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Solution

The fourth proportional to 258,896.48, 357,281.15 and 145,719.23 is: 201,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,896.48 : 357,281.15 = 145,719.23 : x
  2. Step 2: Convert to fraction form
    258,896.48/357,281.15 = 145,719.23/x
  3. Step 3: Cross multiply
    258,896.48x = 357,281.15 × 145,719.23
  4. Step 4: Simplify right side
    258,896.48x = 52,062,731,556.51
  5. Step 5: Solve for x
    x = 52,062,731,556.51/258,896.48
  6. Step 6: Final answer
    x = 201,094.79

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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.