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Finding the Fourth Proportional to 102,760, 154,154.68 and 31,688.64

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Solution

The fourth proportional to 102,760, 154,154.68 and 31,688.64 is: 47,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,760 : 154,154.68 = 31,688.64 : x
  2. Step 2: Convert to fraction form
    102,760/154,154.68 = 31,688.64/x
  3. Step 3: Cross multiply
    102,760x = 154,154.68 × 31,688.64
  4. Step 4: Simplify right side
    102,760x = 4,884,952,158.84
  5. Step 5: Solve for x
    x = 4,884,952,158.84/102,760
  6. Step 6: Final answer
    x = 47,537.49

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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.