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Finding the Fourth Proportional to 210,145.92, 315,370.30 and 83,712.98

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Solution

The fourth proportional to 210,145.92, 315,370.30 and 83,712.98 is: 125,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,145.92 : 315,370.30 = 83,712.98 : x
  2. Step 2: Convert to fraction form
    210,145.92/315,370.30 = 83,712.98/x
  3. Step 3: Cross multiply
    210,145.92x = 315,370.30 × 83,712.98
  4. Step 4: Simplify right side
    210,145.92x = 26,400,587,616.49
  5. Step 5: Solve for x
    x = 26,400,587,616.49/210,145.92
  6. Step 6: Final answer
    x = 125,629.79

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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.