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Finding the Fourth Proportional to 258,597.84, 387,923.76 and 71,609.34

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Solution

The fourth proportional to 258,597.84, 387,923.76 and 71,609.34 is: 107,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,597.84 : 387,923.76 = 71,609.34 : x
  2. Step 2: Convert to fraction form
    258,597.84/387,923.76 = 71,609.34/x
  3. Step 3: Cross multiply
    258,597.84x = 387,923.76 × 71,609.34
  4. Step 4: Simplify right side
    258,597.84x = 27,778,964,423.92
  5. Step 5: Solve for x
    x = 27,778,964,423.92/258,597.84
  6. Step 6: Final answer
    x = 107,421.49

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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.