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Finding the Fourth Proportional to 99,744.60, 149,492.12 and 49,838.70

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Solution

The fourth proportional to 99,744.60, 149,492.12 and 49,838.70 is: 74,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,744.60 : 149,492.12 = 49,838.70 : x
  2. Step 2: Convert to fraction form
    99,744.60/149,492.12 = 49,838.70/x
  3. Step 3: Cross multiply
    99,744.60x = 149,492.12 × 49,838.70
  4. Step 4: Simplify right side
    99,744.60x = 7,450,492,671.85
  5. Step 5: Solve for x
    x = 7,450,492,671.85/99,744.60
  6. Step 6: Final answer
    x = 74,695.70

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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.