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Finding the Fourth Proportional to 140,625.65, 210,836.73 and 83,564.30

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Solution

The fourth proportional to 140,625.65, 210,836.73 and 83,564.30 is: 125,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,625.65 : 210,836.73 = 83,564.30 : x
  2. Step 2: Convert to fraction form
    140,625.65/210,836.73 = 83,564.30/x
  3. Step 3: Cross multiply
    140,625.65x = 210,836.73 × 83,564.30
  4. Step 4: Simplify right side
    140,625.65x = 17,618,424,597.20
  5. Step 5: Solve for x
    x = 17,618,424,597.20/140,625.65
  6. Step 6: Final answer
    x = 125,285.99

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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.