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Finding the Fourth Proportional to 209,877.48, 289,638.74 and 119,248.81

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Solution

The fourth proportional to 209,877.48, 289,638.74 and 119,248.81 is: 164,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,877.48 : 289,638.74 = 119,248.81 : x
  2. Step 2: Convert to fraction form
    209,877.48/289,638.74 = 119,248.81/x
  3. Step 3: Cross multiply
    209,877.48x = 289,638.74 × 119,248.81
  4. Step 4: Simplify right side
    209,877.48x = 34,539,073,754.56
  5. Step 5: Solve for x
    x = 34,539,073,754.56/209,877.48
  6. Step 6: Final answer
    x = 164,567.79

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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.