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Finding the Fourth Proportional to 77,813.40, 116,720.10 and 73,205.40

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Solution

The fourth proportional to 77,813.40, 116,720.10 and 73,205.40 is: 109,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,813.40 : 116,720.10 = 73,205.40 : x
  2. Step 2: Convert to fraction form
    77,813.40/116,720.10 = 73,205.40/x
  3. Step 3: Cross multiply
    77,813.40x = 116,720.10 × 73,205.40
  4. Step 4: Simplify right side
    77,813.40x = 8,544,541,608.54
  5. Step 5: Solve for x
    x = 8,544,541,608.54/77,813.40
  6. Step 6: Final answer
    x = 109,808.10

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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.