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Finding the Fourth Proportional to 85,491, 117,977.63 and 47,765.25

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Solution

The fourth proportional to 85,491, 117,977.63 and 47,765.25 is: 65,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,491 : 117,977.63 = 47,765.25 : x
  2. Step 2: Convert to fraction form
    85,491/117,977.63 = 47,765.25/x
  3. Step 3: Cross multiply
    85,491x = 117,977.63 × 47,765.25
  4. Step 4: Simplify right side
    85,491x = 5,635,230,752.53
  5. Step 5: Solve for x
    x = 5,635,230,752.53/85,491
  6. Step 6: Final answer
    x = 65,916.07

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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.