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Finding the Fourth Proportional to 258,208.67, 387,312.70 and 89,729.01

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Solution

The fourth proportional to 258,208.67, 387,312.70 and 89,729.01 is: 134,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,208.67 : 387,312.70 = 89,729.01 : x
  2. Step 2: Convert to fraction form
    258,208.67/387,312.70 = 89,729.01/x
  3. Step 3: Cross multiply
    258,208.67x = 387,312.70 × 89,729.01
  4. Step 4: Simplify right side
    258,208.67x = 34,753,184,458.41
  5. Step 5: Solve for x
    x = 34,753,184,458.41/258,208.67
  6. Step 6: Final answer
    x = 134,593.41

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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.