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Finding the Fourth Proportional to 128,916.90, 193,375.35 and 97,812.90

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Solution

The fourth proportional to 128,916.90, 193,375.35 and 97,812.90 is: 146,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,916.90 : 193,375.35 = 97,812.90 : x
  2. Step 2: Convert to fraction form
    128,916.90/193,375.35 = 97,812.90/x
  3. Step 3: Cross multiply
    128,916.90x = 193,375.35 × 97,812.90
  4. Step 4: Simplify right side
    128,916.90x = 18,914,603,772.02
  5. Step 5: Solve for x
    x = 18,914,603,772.02/128,916.90
  6. Step 6: Final answer
    x = 146,719.35

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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.