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Finding the Fourth Proportional to 257,897.26, 386,827.50 and 68,353.36

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Solution

The fourth proportional to 257,897.26, 386,827.50 and 68,353.36 is: 102,525.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,897.26 : 386,827.50 = 68,353.36 : x
  2. Step 2: Convert to fraction form
    257,897.26/386,827.50 = 68,353.36/x
  3. Step 3: Cross multiply
    257,897.26x = 386,827.50 × 68,353.36
  4. Step 4: Simplify right side
    257,897.26x = 26,440,959,365.40
  5. Step 5: Solve for x
    x = 26,440,959,365.40/257,897.26
  6. Step 6: Final answer
    x = 102,525.17

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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.