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Finding the Fourth Proportional to 149,129.76, 205,775.16 and 85,455.72

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Solution

The fourth proportional to 149,129.76, 205,775.16 and 85,455.72 is: 117,915.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,129.76 : 205,775.16 = 85,455.72 : x
  2. Step 2: Convert to fraction form
    149,129.76/205,775.16 = 85,455.72/x
  3. Step 3: Cross multiply
    149,129.76x = 205,775.16 × 85,455.72
  4. Step 4: Simplify right side
    149,129.76x = 17,584,664,455.92
  5. Step 5: Solve for x
    x = 17,584,664,455.92/149,129.76
  6. Step 6: Final answer
    x = 117,915.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.