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Finding the Fourth Proportional to 258,602.22, 387,073.63 and 138,358.38

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Solution

The fourth proportional to 258,602.22, 387,073.63 and 138,358.38 is: 207,093.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,602.22 : 387,073.63 = 138,358.38 : x
  2. Step 2: Convert to fraction form
    258,602.22/387,073.63 = 138,358.38/x
  3. Step 3: Cross multiply
    258,602.22x = 387,073.63 × 138,358.38
  4. Step 4: Simplify right side
    258,602.22x = 53,554,880,387.52
  5. Step 5: Solve for x
    x = 53,554,880,387.52/258,602.22
  6. Step 6: Final answer
    x = 207,093.66

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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.