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Finding the Fourth Proportional to 171,813.30, 257,616.40 and 77,026.34

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Solution

The fourth proportional to 171,813.30, 257,616.40 and 77,026.34 is: 115,493.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,813.30 : 257,616.40 = 77,026.34 : x
  2. Step 2: Convert to fraction form
    171,813.30/257,616.40 = 77,026.34/x
  3. Step 3: Cross multiply
    171,813.30x = 257,616.40 × 77,026.34
  4. Step 4: Simplify right side
    171,813.30x = 19,843,248,415.98
  5. Step 5: Solve for x
    x = 19,843,248,415.98/171,813.30
  6. Step 6: Final answer
    x = 115,493.09

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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.