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Finding the Fourth Proportional to 140,321.20, 210,564.86 and 51,637

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Solution

The fourth proportional to 140,321.20, 210,564.86 and 51,637 is: 77,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,321.20 : 210,564.86 = 51,637 : x
  2. Step 2: Convert to fraction form
    140,321.20/210,564.86 = 51,637/x
  3. Step 3: Cross multiply
    140,321.20x = 210,564.86 × 51,637
  4. Step 4: Simplify right side
    140,321.20x = 10,872,937,675.82
  5. Step 5: Solve for x
    x = 10,872,937,675.82/140,321.20
  6. Step 6: Final answer
    x = 77,486.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.