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Finding the Fourth Proportional to 143,573, 215,368.14 and 45,077

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Solution

The fourth proportional to 143,573, 215,368.14 and 45,077 is: 67,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,573 : 215,368.14 = 45,077 : x
  2. Step 2: Convert to fraction form
    143,573/215,368.14 = 45,077/x
  3. Step 3: Cross multiply
    143,573x = 215,368.14 × 45,077
  4. Step 4: Simplify right side
    143,573x = 9,708,149,646.78
  5. Step 5: Solve for x
    x = 9,708,149,646.78/143,573
  6. Step 6: Final answer
    x = 67,618.21

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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.