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Finding the Fourth Proportional to 140,295.42, 210,471.84 and 51,549.84

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Solution

The fourth proportional to 140,295.42, 210,471.84 and 51,549.84 is: 77,335.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,295.42 : 210,471.84 = 51,549.84 : x
  2. Step 2: Convert to fraction form
    140,295.42/210,471.84 = 51,549.84/x
  3. Step 3: Cross multiply
    140,295.42x = 210,471.84 × 51,549.84
  4. Step 4: Simplify right side
    140,295.42x = 10,849,789,676.51
  5. Step 5: Solve for x
    x = 10,849,789,676.51/140,295.42
  6. Step 6: Final answer
    x = 77,335.31

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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.