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Finding the Fourth Proportional to 140,641.60, 210,984.30 and 45,849.76

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Solution

The fourth proportional to 140,641.60, 210,984.30 and 45,849.76 is: 68,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,641.60 : 210,984.30 = 45,849.76 : x
  2. Step 2: Convert to fraction form
    140,641.60/210,984.30 = 45,849.76/x
  3. Step 3: Cross multiply
    140,641.60x = 210,984.30 × 45,849.76
  4. Step 4: Simplify right side
    140,641.60x = 9,673,579,518.77
  5. Step 5: Solve for x
    x = 9,673,579,518.77/140,641.60
  6. Step 6: Final answer
    x = 68,781.78

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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.