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Finding the Fourth Proportional to 140,554.42, 210,859.80 and 51,808.30

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Solution

The fourth proportional to 140,554.42, 210,859.80 and 51,808.30 is: 77,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,554.42 : 210,859.80 = 51,808.30 : x
  2. Step 2: Convert to fraction form
    140,554.42/210,859.80 = 51,808.30/x
  3. Step 3: Cross multiply
    140,554.42x = 210,859.80 × 51,808.30
  4. Step 4: Simplify right side
    140,554.42x = 10,924,287,776.34
  5. Step 5: Solve for x
    x = 10,924,287,776.34/140,554.42
  6. Step 6: Final answer
    x = 77,722.83

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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.