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Finding the Fourth Proportional to 123,819.40, 185,729.10 and 92,715.40

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Solution

The fourth proportional to 123,819.40, 185,729.10 and 92,715.40 is: 139,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,819.40 : 185,729.10 = 92,715.40 : x
  2. Step 2: Convert to fraction form
    123,819.40/185,729.10 = 92,715.40/x
  3. Step 3: Cross multiply
    123,819.40x = 185,729.10 × 92,715.40
  4. Step 4: Simplify right side
    123,819.40x = 17,219,947,798.14
  5. Step 5: Solve for x
    x = 17,219,947,798.14/123,819.40
  6. Step 6: Final answer
    x = 139,073.10

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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.