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Finding the Fourth Proportional to 258,522, 387,780.10 and 100,861.18

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Solution

The fourth proportional to 258,522, 387,780.10 and 100,861.18 is: 151,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,522 : 387,780.10 = 100,861.18 : x
  2. Step 2: Convert to fraction form
    258,522/387,780.10 = 100,861.18/x
  3. Step 3: Cross multiply
    258,522x = 387,780.10 × 100,861.18
  4. Step 4: Simplify right side
    258,522x = 39,111,958,466.52
  5. Step 5: Solve for x
    x = 39,111,958,466.52/258,522
  6. Step 6: Final answer
    x = 151,290.64

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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.