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Finding the Fourth Proportional to 145,670.84, 201,044.92 and 82,021.04

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Solution

The fourth proportional to 145,670.84, 201,044.92 and 82,021.04 is: 113,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,670.84 : 201,044.92 = 82,021.04 : x
  2. Step 2: Convert to fraction form
    145,670.84/201,044.92 = 82,021.04/x
  3. Step 3: Cross multiply
    145,670.84x = 201,044.92 × 82,021.04
  4. Step 4: Simplify right side
    145,670.84x = 16,489,913,425.12
  5. Step 5: Solve for x
    x = 16,489,913,425.12/145,670.84
  6. Step 6: Final answer
    x = 113,199.82

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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.