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Finding the Fourth Proportional to 102,019, 153,037.32 and 28,147

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Solution

The fourth proportional to 102,019, 153,037.32 and 28,147 is: 42,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019 : 153,037.32 = 28,147 : x
  2. Step 2: Convert to fraction form
    102,019/153,037.32 = 28,147/x
  3. Step 3: Cross multiply
    102,019x = 153,037.32 × 28,147
  4. Step 4: Simplify right side
    102,019x = 4,307,541,446.04
  5. Step 5: Solve for x
    x = 4,307,541,446.04/102,019
  6. Step 6: Final answer
    x = 42,222.93

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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.