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Finding the Fourth Proportional to 91,752.12, 137,595.16 and 31,764.30

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Solution

The fourth proportional to 91,752.12, 137,595.16 and 31,764.30 is: 47,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,752.12 : 137,595.16 = 31,764.30 : x
  2. Step 2: Convert to fraction form
    91,752.12/137,595.16 = 31,764.30/x
  3. Step 3: Cross multiply
    91,752.12x = 137,595.16 × 31,764.30
  4. Step 4: Simplify right side
    91,752.12x = 4,370,613,940.79
  5. Step 5: Solve for x
    x = 4,370,613,940.79/91,752.12
  6. Step 6: Final answer
    x = 47,635.02

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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.