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Finding the Fourth Proportional to 209,672.10, 289,350.96 and 119,030.76

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Solution

The fourth proportional to 209,672.10, 289,350.96 and 119,030.76 is: 164,264.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,672.10 : 289,350.96 = 119,030.76 : x
  2. Step 2: Convert to fraction form
    209,672.10/289,350.96 = 119,030.76/x
  3. Step 3: Cross multiply
    209,672.10x = 289,350.96 × 119,030.76
  4. Step 4: Simplify right side
    209,672.10x = 34,441,664,675.53
  5. Step 5: Solve for x
    x = 34,441,664,675.53/209,672.10
  6. Step 6: Final answer
    x = 164,264.41

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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.