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Finding the Fourth Proportional to 131,808.98, 197,672.60 and 47,558.20

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Solution

The fourth proportional to 131,808.98, 197,672.60 and 47,558.20 is: 71,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,808.98 : 197,672.60 = 47,558.20 : x
  2. Step 2: Convert to fraction form
    131,808.98/197,672.60 = 47,558.20/x
  3. Step 3: Cross multiply
    131,808.98x = 197,672.60 × 47,558.20
  4. Step 4: Simplify right side
    131,808.98x = 9,400,953,045.32
  5. Step 5: Solve for x
    x = 9,400,953,045.32/131,808.98
  6. Step 6: Final answer
    x = 71,322.55

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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.