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Finding the Fourth Proportional to 258,587.34, 387,922.32 and 90,156.12

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Solution

The fourth proportional to 258,587.34, 387,922.32 and 90,156.12 is: 135,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,587.34 : 387,922.32 = 90,156.12 : x
  2. Step 2: Convert to fraction form
    258,587.34/387,922.32 = 90,156.12/x
  3. Step 3: Cross multiply
    258,587.34x = 387,922.32 × 90,156.12
  4. Step 4: Simplify right side
    258,587.34x = 34,973,571,232.60
  5. Step 5: Solve for x
    x = 34,973,571,232.60/258,587.34
  6. Step 6: Final answer
    x = 135,248.58

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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.