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Finding the Fourth Proportional to 145,658.32, 201,000.84 and 81,994

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Solution

The fourth proportional to 145,658.32, 201,000.84 and 81,994 is: 113,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,658.32 : 201,000.84 = 81,994 : x
  2. Step 2: Convert to fraction form
    145,658.32/201,000.84 = 81,994/x
  3. Step 3: Cross multiply
    145,658.32x = 201,000.84 × 81,994
  4. Step 4: Simplify right side
    145,658.32x = 16,480,862,874.96
  5. Step 5: Solve for x
    x = 16,480,862,874.96/145,658.32
  6. Step 6: Final answer
    x = 113,147.42

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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.