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Finding the Fourth Proportional to 149,980.70, 206,973.48 and 81,996.59

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Solution

The fourth proportional to 149,980.70, 206,973.48 and 81,996.59 is: 113,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,980.70 : 206,973.48 = 81,996.59 : x
  2. Step 2: Convert to fraction form
    149,980.70/206,973.48 = 81,996.59/x
  3. Step 3: Cross multiply
    149,980.70x = 206,973.48 × 81,996.59
  4. Step 4: Simplify right side
    149,980.70x = 16,971,118,545.57
  5. Step 5: Solve for x
    x = 16,971,118,545.57/149,980.70
  6. Step 6: Final answer
    x = 113,155.35

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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.