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Finding the Fourth Proportional to 85,488, 117,973.44 and 47,765.76

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Solution

The fourth proportional to 85,488, 117,973.44 and 47,765.76 is: 65,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,488 : 117,973.44 = 47,765.76 : x
  2. Step 2: Convert to fraction form
    85,488/117,973.44 = 47,765.76/x
  3. Step 3: Cross multiply
    85,488x = 117,973.44 × 47,765.76
  4. Step 4: Simplify right side
    85,488x = 5,635,091,021.41
  5. Step 5: Solve for x
    x = 5,635,091,021.41/85,488
  6. Step 6: Final answer
    x = 65,916.75

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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.