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Finding the Fourth Proportional to 85,457.74, 117,934.06 and 47,219.76

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Solution

The fourth proportional to 85,457.74, 117,934.06 and 47,219.76 is: 65,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457.74 : 117,934.06 = 47,219.76 : x
  2. Step 2: Convert to fraction form
    85,457.74/117,934.06 = 47,219.76/x
  3. Step 3: Cross multiply
    85,457.74x = 117,934.06 × 47,219.76
  4. Step 4: Simplify right side
    85,457.74x = 5,568,818,009.03
  5. Step 5: Solve for x
    x = 5,568,818,009.03/85,457.74
  6. Step 6: Final answer
    x = 65,164.58

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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.