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Finding the Fourth Proportional to 203,411.63, 305,117.46 and 78,752.63

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Solution

The fourth proportional to 203,411.63, 305,117.46 and 78,752.63 is: 118,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411.63 : 305,117.46 = 78,752.63 : x
  2. Step 2: Convert to fraction form
    203,411.63/305,117.46 = 78,752.63/x
  3. Step 3: Cross multiply
    203,411.63x = 305,117.46 × 78,752.63
  4. Step 4: Simplify right side
    203,411.63x = 24,028,802,433.92
  5. Step 5: Solve for x
    x = 24,028,802,433.92/203,411.63
  6. Step 6: Final answer
    x = 118,128.95

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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.