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Finding the Fourth Proportional to 143,260.66, 214,595.66 and 83,916.42

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Solution

The fourth proportional to 143,260.66, 214,595.66 and 83,916.42 is: 125,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,260.66 : 214,595.66 = 83,916.42 : x
  2. Step 2: Convert to fraction form
    143,260.66/214,595.66 = 83,916.42/x
  3. Step 3: Cross multiply
    143,260.66x = 214,595.66 × 83,916.42
  4. Step 4: Simplify right side
    143,260.66x = 18,008,099,534.74
  5. Step 5: Solve for x
    x = 18,008,099,534.74/143,260.66
  6. Step 6: Final answer
    x = 125,701.64

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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.