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Finding the Fourth Proportional to 102,895.29, 154,237.70 and 69,618.87

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Solution

The fourth proportional to 102,895.29, 154,237.70 and 69,618.87 is: 104,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,895.29 : 154,237.70 = 69,618.87 : x
  2. Step 2: Convert to fraction form
    102,895.29/154,237.70 = 69,618.87/x
  3. Step 3: Cross multiply
    102,895.29x = 154,237.70 × 69,618.87
  4. Step 4: Simplify right side
    102,895.29x = 10,737,854,037.30
  5. Step 5: Solve for x
    x = 10,737,854,037.30/102,895.29
  6. Step 6: Final answer
    x = 104,357.10

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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.