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Finding the Fourth Proportional to 57,136.88, 78,848.90 and 34,780.88

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Solution

The fourth proportional to 57,136.88, 78,848.90 and 34,780.88 is: 47,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.88 : 78,848.90 = 34,780.88 : x
  2. Step 2: Convert to fraction form
    57,136.88/78,848.90 = 34,780.88/x
  3. Step 3: Cross multiply
    57,136.88x = 78,848.90 × 34,780.88
  4. Step 4: Simplify right side
    57,136.88x = 2,742,433,560.88
  5. Step 5: Solve for x
    x = 2,742,433,560.88/57,136.88
  6. Step 6: Final answer
    x = 47,997.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.