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Finding the Fourth Proportional to 145,937.70, 201,391.29 and 82,275.48

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Solution

The fourth proportional to 145,937.70, 201,391.29 and 82,275.48 is: 113,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,937.70 : 201,391.29 = 82,275.48 : x
  2. Step 2: Convert to fraction form
    145,937.70/201,391.29 = 82,275.48/x
  3. Step 3: Cross multiply
    145,937.70x = 201,391.29 × 82,275.48
  4. Step 4: Simplify right side
    145,937.70x = 16,569,565,052.57
  5. Step 5: Solve for x
    x = 16,569,565,052.57/145,937.70
  6. Step 6: Final answer
    x = 113,538.62

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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.