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Finding the Fourth Proportional to 77,128.40, 115,433.40 and 53,800.40

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Solution

The fourth proportional to 77,128.40, 115,433.40 and 53,800.40 is: 80,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,128.40 : 115,433.40 = 53,800.40 : x
  2. Step 2: Convert to fraction form
    77,128.40/115,433.40 = 53,800.40/x
  3. Step 3: Cross multiply
    77,128.40x = 115,433.40 × 53,800.40
  4. Step 4: Simplify right side
    77,128.40x = 6,210,363,093.36
  5. Step 5: Solve for x
    x = 6,210,363,093.36/77,128.40
  6. Step 6: Final answer
    x = 80,519.80

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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.