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Finding the Fourth Proportional to 258,592.84, 387,889.74 and 81,113.61

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Solution

The fourth proportional to 258,592.84, 387,889.74 and 81,113.61 is: 121,670.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,592.84 : 387,889.74 = 81,113.61 : x
  2. Step 2: Convert to fraction form
    258,592.84/387,889.74 = 81,113.61/x
  3. Step 3: Cross multiply
    258,592.84x = 387,889.74 × 81,113.61
  4. Step 4: Simplify right side
    258,592.84x = 31,463,137,093.36
  5. Step 5: Solve for x
    x = 31,463,137,093.36/258,592.84
  6. Step 6: Final answer
    x = 121,670.57

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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.