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Finding the Fourth Proportional to 276,813.69, 415,220.79 and 77,139.39

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Solution

The fourth proportional to 276,813.69, 415,220.79 and 77,139.39 is: 115,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,813.69 : 415,220.79 = 77,139.39 : x
  2. Step 2: Convert to fraction form
    276,813.69/415,220.79 = 77,139.39/x
  3. Step 3: Cross multiply
    276,813.69x = 415,220.79 × 77,139.39
  4. Step 4: Simplify right side
    276,813.69x = 32,029,878,455.92
  5. Step 5: Solve for x
    x = 32,029,878,455.92/276,813.69
  6. Step 6: Final answer
    x = 115,709.16

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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.