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Finding the Fourth Proportional to 87,657, 131,485.50 and 29,289

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Solution

The fourth proportional to 87,657, 131,485.50 and 29,289 is: 43,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,657 : 131,485.50 = 29,289 : x
  2. Step 2: Convert to fraction form
    87,657/131,485.50 = 29,289/x
  3. Step 3: Cross multiply
    87,657x = 131,485.50 × 29,289
  4. Step 4: Simplify right side
    87,657x = 3,851,078,809.50
  5. Step 5: Solve for x
    x = 3,851,078,809.50/87,657
  6. Step 6: Final answer
    x = 43,933.50

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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.