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Finding the Fourth Proportional to 210,512, 315,923.52 and 99,704

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Solution

The fourth proportional to 210,512, 315,923.52 and 99,704 is: 149,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,512 : 315,923.52 = 99,704 : x
  2. Step 2: Convert to fraction form
    210,512/315,923.52 = 99,704/x
  3. Step 3: Cross multiply
    210,512x = 315,923.52 × 99,704
  4. Step 4: Simplify right side
    210,512x = 31,498,838,638.08
  5. Step 5: Solve for x
    x = 31,498,838,638.08/210,512
  6. Step 6: Final answer
    x = 149,629.66

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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.