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Finding the Fourth Proportional to 258,076, 387,114 and 71,087.52

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Solution

The fourth proportional to 258,076, 387,114 and 71,087.52 is: 106,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,076 : 387,114 = 71,087.52 : x
  2. Step 2: Convert to fraction form
    258,076/387,114 = 71,087.52/x
  3. Step 3: Cross multiply
    258,076x = 387,114 × 71,087.52
  4. Step 4: Simplify right side
    258,076x = 27,518,974,217.28
  5. Step 5: Solve for x
    x = 27,518,974,217.28/258,076
  6. Step 6: Final answer
    x = 106,631.28

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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.