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Finding the Fourth Proportional to 145,894.08, 201,311.52 and 82,230.72

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Solution

The fourth proportional to 145,894.08, 201,311.52 and 82,230.72 is: 113,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,894.08 : 201,311.52 = 82,230.72 : x
  2. Step 2: Convert to fraction form
    145,894.08/201,311.52 = 82,230.72/x
  3. Step 3: Cross multiply
    145,894.08x = 201,311.52 × 82,230.72
  4. Step 4: Simplify right side
    145,894.08x = 16,553,991,233.89
  5. Step 5: Solve for x
    x = 16,553,991,233.89/145,894.08
  6. Step 6: Final answer
    x = 113,465.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.