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Finding the Fourth Proportional to 102,439, 153,684.42 and 28,567

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Solution

The fourth proportional to 102,439, 153,684.42 and 28,567 is: 42,857.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,439 : 153,684.42 = 28,567 : x
  2. Step 2: Convert to fraction form
    102,439/153,684.42 = 28,567/x
  3. Step 3: Cross multiply
    102,439x = 153,684.42 × 28,567
  4. Step 4: Simplify right side
    102,439x = 4,390,302,826.14
  5. Step 5: Solve for x
    x = 4,390,302,826.14/102,439
  6. Step 6: Final answer
    x = 42,857.73

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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.