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Finding the Fourth Proportional to 149,483.34, 206,261.64 and 85,819.77

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Solution

The fourth proportional to 149,483.34, 206,261.64 and 85,819.77 is: 118,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,483.34 : 206,261.64 = 85,819.77 : x
  2. Step 2: Convert to fraction form
    149,483.34/206,261.64 = 85,819.77/x
  3. Step 3: Cross multiply
    149,483.34x = 206,261.64 × 85,819.77
  4. Step 4: Simplify right side
    149,483.34x = 17,701,326,504.62
  5. Step 5: Solve for x
    x = 17,701,326,504.62/149,483.34
  6. Step 6: Final answer
    x = 118,416.72

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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.