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Finding the Fourth Proportional to 149,013.92, 205,683.55 and 85,394.09

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Solution

The fourth proportional to 149,013.92, 205,683.55 and 85,394.09 is: 117,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,013.92 : 205,683.55 = 85,394.09 : x
  2. Step 2: Convert to fraction form
    149,013.92/205,683.55 = 85,394.09/x
  3. Step 3: Cross multiply
    149,013.92x = 205,683.55 × 85,394.09
  4. Step 4: Simplify right side
    149,013.92x = 17,564,159,880.94
  5. Step 5: Solve for x
    x = 17,564,159,880.94/149,013.92
  6. Step 6: Final answer
    x = 117,869.25

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1.5x scale

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.