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Finding the Fourth Proportional to 156,121, 234,181.50 and 57,625

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Solution

The fourth proportional to 156,121, 234,181.50 and 57,625 is: 86,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,121 : 234,181.50 = 57,625 : x
  2. Step 2: Convert to fraction form
    156,121/234,181.50 = 57,625/x
  3. Step 3: Cross multiply
    156,121x = 234,181.50 × 57,625
  4. Step 4: Simplify right side
    156,121x = 13,494,708,937.50
  5. Step 5: Solve for x
    x = 13,494,708,937.50/156,121
  6. Step 6: Final answer
    x = 86,437.50

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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.