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Finding the Fourth Proportional to 209,219.90, 288,720.06 and 113,729

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Solution

The fourth proportional to 209,219.90, 288,720.06 and 113,729 is: 156,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,219.90 : 288,720.06 = 113,729 : x
  2. Step 2: Convert to fraction form
    209,219.90/288,720.06 = 113,729/x
  3. Step 3: Cross multiply
    209,219.90x = 288,720.06 × 113,729
  4. Step 4: Simplify right side
    209,219.90x = 32,835,843,703.74
  5. Step 5: Solve for x
    x = 32,835,843,703.74/209,219.90
  6. Step 6: Final answer
    x = 156,944.17

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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.