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Finding the Fourth Proportional to 85,307.11, 127,698.19 and 55,661.11

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Solution

The fourth proportional to 85,307.11, 127,698.19 and 55,661.11 is: 83,320.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,307.11 : 127,698.19 = 55,661.11 : x
  2. Step 2: Convert to fraction form
    85,307.11/127,698.19 = 55,661.11/x
  3. Step 3: Cross multiply
    85,307.11x = 127,698.19 × 55,661.11
  4. Step 4: Simplify right side
    85,307.11x = 7,107,823,000.39
  5. Step 5: Solve for x
    x = 7,107,823,000.39/85,307.11
  6. Step 6: Final answer
    x = 83,320.41

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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.