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Finding the Fourth Proportional to 78,047.13, 117,071 and 18,882.71

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Solution

The fourth proportional to 78,047.13, 117,071 and 18,882.71 is: 28,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,047.13 : 117,071 = 18,882.71 : x
  2. Step 2: Convert to fraction form
    78,047.13/117,071 = 18,882.71/x
  3. Step 3: Cross multiply
    78,047.13x = 117,071 × 18,882.71
  4. Step 4: Simplify right side
    78,047.13x = 2,210,617,742.41
  5. Step 5: Solve for x
    x = 2,210,617,742.41/78,047.13
  6. Step 6: Final answer
    x = 28,324.14

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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.