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Finding the Fourth Proportional to 85,068, 127,603.08 and 29,664

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Solution

The fourth proportional to 85,068, 127,603.08 and 29,664 is: 44,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,068 : 127,603.08 = 29,664 : x
  2. Step 2: Convert to fraction form
    85,068/127,603.08 = 29,664/x
  3. Step 3: Cross multiply
    85,068x = 127,603.08 × 29,664
  4. Step 4: Simplify right side
    85,068x = 3,785,217,765.12
  5. Step 5: Solve for x
    x = 3,785,217,765.12/85,068
  6. Step 6: Final answer
    x = 44,496.38

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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.