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Finding the Fourth Proportional to 140,182.92, 210,149.34 and 51,415.72

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Solution

The fourth proportional to 140,182.92, 210,149.34 and 51,415.72 is: 77,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,182.92 : 210,149.34 = 51,415.72 : x
  2. Step 2: Convert to fraction form
    140,182.92/210,149.34 = 51,415.72/x
  3. Step 3: Cross multiply
    140,182.92x = 210,149.34 × 51,415.72
  4. Step 4: Simplify right side
    140,182.92x = 10,804,979,623.62
  5. Step 5: Solve for x
    x = 10,804,979,623.62/140,182.92
  6. Step 6: Final answer
    x = 77,077.72

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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.