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Finding the Fourth Proportional to 143,830.35, 215,798.12 and 66,930.02

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Solution

The fourth proportional to 143,830.35, 215,798.12 and 66,930.02 is: 100,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,830.35 : 215,798.12 = 66,930.02 : x
  2. Step 2: Convert to fraction form
    143,830.35/215,798.12 = 66,930.02/x
  3. Step 3: Cross multiply
    143,830.35x = 215,798.12 × 66,930.02
  4. Step 4: Simplify right side
    143,830.35x = 14,443,371,575.90
  5. Step 5: Solve for x
    x = 14,443,371,575.90/143,830.35
  6. Step 6: Final answer
    x = 100,419.50

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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.