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Finding the Fourth Proportional to 258,636.95, 387,965.60 and 90,174.47

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Solution

The fourth proportional to 258,636.95, 387,965.60 and 90,174.47 is: 135,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,636.95 : 387,965.60 = 90,174.47 : x
  2. Step 2: Convert to fraction form
    258,636.95/387,965.60 = 90,174.47/x
  3. Step 3: Cross multiply
    258,636.95x = 387,965.60 × 90,174.47
  4. Step 4: Simplify right side
    258,636.95x = 34,984,590,305.69
  5. Step 5: Solve for x
    x = 34,984,590,305.69/258,636.95
  6. Step 6: Final answer
    x = 135,265.25

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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.