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Finding the Fourth Proportional to 162,143.40, 243,153.12 and 77,880.12

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Solution

The fourth proportional to 162,143.40, 243,153.12 and 77,880.12 is: 116,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,143.40 : 243,153.12 = 77,880.12 : x
  2. Step 2: Convert to fraction form
    162,143.40/243,153.12 = 77,880.12/x
  3. Step 3: Cross multiply
    162,143.40x = 243,153.12 × 77,880.12
  4. Step 4: Simplify right side
    162,143.40x = 18,936,794,163.97
  5. Step 5: Solve for x
    x = 18,936,794,163.97/162,143.40
  6. Step 6: Final answer
    x = 116,790.41

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1.5x scale

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.