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Finding the Fourth Proportional to 258,130.64, 387,047 and 100,174.48

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Solution

The fourth proportional to 258,130.64, 387,047 and 100,174.48 is: 150,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,130.64 : 387,047 = 100,174.48 : x
  2. Step 2: Convert to fraction form
    258,130.64/387,047 = 100,174.48/x
  3. Step 3: Cross multiply
    258,130.64x = 387,047 × 100,174.48
  4. Step 4: Simplify right side
    258,130.64x = 38,772,231,960.56
  5. Step 5: Solve for x
    x = 38,772,231,960.56/258,130.64
  6. Step 6: Final answer
    x = 150,203.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.