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Finding the Fourth Proportional to 129,296.83, 178,477.85 and 75,599.10

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Solution

The fourth proportional to 129,296.83, 178,477.85 and 75,599.10 is: 104,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,296.83 : 178,477.85 = 75,599.10 : x
  2. Step 2: Convert to fraction form
    129,296.83/178,477.85 = 75,599.10/x
  3. Step 3: Cross multiply
    129,296.83x = 178,477.85 × 75,599.10
  4. Step 4: Simplify right side
    129,296.83x = 13,492,764,829.94
  5. Step 5: Solve for x
    x = 13,492,764,829.94/129,296.83
  6. Step 6: Final answer
    x = 104,354.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.