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Finding the Fourth Proportional to 71,123.67, 106,714.19 and 31,653.79

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Solution

The fourth proportional to 71,123.67, 106,714.19 and 31,653.79 is: 47,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,123.67 : 106,714.19 = 31,653.79 : x
  2. Step 2: Convert to fraction form
    71,123.67/106,714.19 = 31,653.79/x
  3. Step 3: Cross multiply
    71,123.67x = 106,714.19 × 31,653.79
  4. Step 4: Simplify right side
    71,123.67x = 3,377,908,372.63
  5. Step 5: Solve for x
    x = 3,377,908,372.63/71,123.67
  6. Step 6: Final answer
    x = 47,493.45

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1.5x scale

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.