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Finding the Fourth Proportional to 149,606.84, 206,465.34 and 85,948.74

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Solution

The fourth proportional to 149,606.84, 206,465.34 and 85,948.74 is: 118,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,606.84 : 206,465.34 = 85,948.74 : x
  2. Step 2: Convert to fraction form
    149,606.84/206,465.34 = 85,948.74/x
  3. Step 3: Cross multiply
    149,606.84x = 206,465.34 × 85,948.74
  4. Step 4: Simplify right side
    149,606.84x = 17,745,435,826.67
  5. Step 5: Solve for x
    x = 17,745,435,826.67/149,606.84
  6. Step 6: Final answer
    x = 118,613.80

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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.