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Finding the Fourth Proportional to 209,554.53, 289,209.90 and 117,688.92

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Solution

The fourth proportional to 209,554.53, 289,209.90 and 117,688.92 is: 162,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,554.53 : 289,209.90 = 117,688.92 : x
  2. Step 2: Convert to fraction form
    209,554.53/289,209.90 = 117,688.92/x
  3. Step 3: Cross multiply
    209,554.53x = 289,209.90 × 117,688.92
  4. Step 4: Simplify right side
    209,554.53x = 34,036,800,784.31
  5. Step 5: Solve for x
    x = 34,036,800,784.31/209,554.53
  6. Step 6: Final answer
    x = 162,424.55

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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.