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Finding the Fourth Proportional to 102,689, 154,033.50 and 37,025

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Solution

The fourth proportional to 102,689, 154,033.50 and 37,025 is: 55,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,689 : 154,033.50 = 37,025 : x
  2. Step 2: Convert to fraction form
    102,689/154,033.50 = 37,025/x
  3. Step 3: Cross multiply
    102,689x = 154,033.50 × 37,025
  4. Step 4: Simplify right side
    102,689x = 5,703,090,337.50
  5. Step 5: Solve for x
    x = 5,703,090,337.50/102,689
  6. Step 6: Final answer
    x = 55,537.50

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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.