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Finding the Fourth Proportional to 257,772.78, 386,508.51 and 97,859.34

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Solution

The fourth proportional to 257,772.78, 386,508.51 and 97,859.34 is: 146,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,772.78 : 386,508.51 = 97,859.34 : x
  2. Step 2: Convert to fraction form
    257,772.78/386,508.51 = 97,859.34/x
  3. Step 3: Cross multiply
    257,772.78x = 386,508.51 × 97,859.34
  4. Step 4: Simplify right side
    257,772.78x = 37,823,467,692.98
  5. Step 5: Solve for x
    x = 37,823,467,692.98/257,772.78
  6. Step 6: Final answer
    x = 146,731.81

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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.