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Finding the Fourth Proportional to 209,214.53, 288,716.47 and 113,721.00

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Solution

The fourth proportional to 209,214.53, 288,716.47 and 113,721.00 is: 156,935.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,214.53 : 288,716.47 = 113,721.00 : x
  2. Step 2: Convert to fraction form
    209,214.53/288,716.47 = 113,721.00/x
  3. Step 3: Cross multiply
    209,214.53x = 288,716.47 × 113,721.00
  4. Step 4: Simplify right side
    209,214.53x = 32,833,124,317.88
  5. Step 5: Solve for x
    x = 32,833,124,317.88/209,214.53
  6. Step 6: Final answer
    x = 156,935.20

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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.