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Finding the Fourth Proportional to 51,655.74, 71,308.56 and 39,714.90

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Solution

The fourth proportional to 51,655.74, 71,308.56 and 39,714.90 is: 54,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,655.74 : 71,308.56 = 39,714.90 : x
  2. Step 2: Convert to fraction form
    51,655.74/71,308.56 = 39,714.90/x
  3. Step 3: Cross multiply
    51,655.74x = 71,308.56 × 39,714.90
  4. Step 4: Simplify right side
    51,655.74x = 2,832,012,329.54
  5. Step 5: Solve for x
    x = 2,832,012,329.54/51,655.74
  6. Step 6: Final answer
    x = 54,824.74

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1.5x scale

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.