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Finding the Fourth Proportional to 123,408.60, 185,307.30 and 70,920.60

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Solution

The fourth proportional to 123,408.60, 185,307.30 and 70,920.60 is: 106,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,408.60 : 185,307.30 = 70,920.60 : x
  2. Step 2: Convert to fraction form
    123,408.60/185,307.30 = 70,920.60/x
  3. Step 3: Cross multiply
    123,408.60x = 185,307.30 × 70,920.60
  4. Step 4: Simplify right side
    123,408.60x = 13,142,104,900.38
  5. Step 5: Solve for x
    x = 13,142,104,900.38/123,408.60
  6. Step 6: Final answer
    x = 106,492.62

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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.