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Finding the Fourth Proportional to 102,123, 153,193.14 and 28,251

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Solution

The fourth proportional to 102,123, 153,193.14 and 28,251 is: 42,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123 : 153,193.14 = 28,251 : x
  2. Step 2: Convert to fraction form
    102,123/153,193.14 = 28,251/x
  3. Step 3: Cross multiply
    102,123x = 153,193.14 × 28,251
  4. Step 4: Simplify right side
    102,123x = 4,327,859,398.14
  5. Step 5: Solve for x
    x = 4,327,859,398.14/102,123
  6. Step 6: Final answer
    x = 42,378.89

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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.