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Finding the Fourth Proportional to 145,214.62, 217,737.37 and 56,364.33

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Solution

The fourth proportional to 145,214.62, 217,737.37 and 56,364.33 is: 84,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,214.62 : 217,737.37 = 56,364.33 : x
  2. Step 2: Convert to fraction form
    145,214.62/217,737.37 = 56,364.33/x
  3. Step 3: Cross multiply
    145,214.62x = 217,737.37 × 56,364.33
  4. Step 4: Simplify right side
    145,214.62x = 12,272,620,933.55
  5. Step 5: Solve for x
    x = 12,272,620,933.55/145,214.62
  6. Step 6: Final answer
    x = 84,513.67

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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.