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Finding the Fourth Proportional to 210,077.50, 289,905.53 and 119,433.49

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Solution

The fourth proportional to 210,077.50, 289,905.53 and 119,433.49 is: 164,817.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,077.50 : 289,905.53 = 119,433.49 : x
  2. Step 2: Convert to fraction form
    210,077.50/289,905.53 = 119,433.49/x
  3. Step 3: Cross multiply
    210,077.50x = 289,905.53 × 119,433.49
  4. Step 4: Simplify right side
    210,077.50x = 34,624,428,568.08
  5. Step 5: Solve for x
    x = 34,624,428,568.08/210,077.50
  6. Step 6: Final answer
    x = 164,817.41

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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.