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Finding the Fourth Proportional to 143,661.90, 215,420.76 and 83,709.75

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Solution

The fourth proportional to 143,661.90, 215,420.76 and 83,709.75 is: 125,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,661.90 : 215,420.76 = 83,709.75 : x
  2. Step 2: Convert to fraction form
    143,661.90/215,420.76 = 83,709.75/x
  3. Step 3: Cross multiply
    143,661.90x = 215,420.76 × 83,709.75
  4. Step 4: Simplify right side
    143,661.90x = 18,032,817,964.41
  5. Step 5: Solve for x
    x = 18,032,817,964.41/143,661.90
  6. Step 6: Final answer
    x = 125,522.62

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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.