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Finding the Fourth Proportional to 103,082.51, 154,491.63 and 89,699.89

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Solution

The fourth proportional to 103,082.51, 154,491.63 and 89,699.89 is: 134,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,082.51 : 154,491.63 = 89,699.89 : x
  2. Step 2: Convert to fraction form
    103,082.51/154,491.63 = 89,699.89/x
  3. Step 3: Cross multiply
    103,082.51x = 154,491.63 × 89,699.89
  4. Step 4: Simplify right side
    103,082.51x = 13,857,882,216.92
  5. Step 5: Solve for x
    x = 13,857,882,216.92/103,082.51
  6. Step 6: Final answer
    x = 134,434.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.