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Finding the Fourth Proportional to 258,916.88, 357,297 and 145,724.24

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Solution

The fourth proportional to 258,916.88, 357,297 and 145,724.24 is: 201,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,916.88 : 357,297 = 145,724.24 : x
  2. Step 2: Convert to fraction form
    258,916.88/357,297 = 145,724.24/x
  3. Step 3: Cross multiply
    258,916.88x = 357,297 × 145,724.24
  4. Step 4: Simplify right side
    258,916.88x = 52,066,833,779.28
  5. Step 5: Solve for x
    x = 52,066,833,779.28/258,916.88
  6. Step 6: Final answer
    x = 201,094.78

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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.