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Finding the Fourth Proportional to 67,182.51, 100,678.38 and 31,630.40

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Solution

The fourth proportional to 67,182.51, 100,678.38 and 31,630.40 is: 47,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,182.51 : 100,678.38 = 31,630.40 : x
  2. Step 2: Convert to fraction form
    67,182.51/100,678.38 = 31,630.40/x
  3. Step 3: Cross multiply
    67,182.51x = 100,678.38 × 31,630.40
  4. Step 4: Simplify right side
    67,182.51x = 3,184,496,927.36
  5. Step 5: Solve for x
    x = 3,184,496,927.36/67,182.51
  6. Step 6: Final answer
    x = 47,400.68

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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.