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Finding the Fourth Proportional to 258,234, 387,365.58 and 92,022

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Solution

The fourth proportional to 258,234, 387,365.58 and 92,022 is: 138,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,234 : 387,365.58 = 92,022 : x
  2. Step 2: Convert to fraction form
    258,234/387,365.58 = 92,022/x
  3. Step 3: Cross multiply
    258,234x = 387,365.58 × 92,022
  4. Step 4: Simplify right side
    258,234x = 35,646,155,402.76
  5. Step 5: Solve for x
    x = 35,646,155,402.76/258,234
  6. Step 6: Final answer
    x = 138,038.20

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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.