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Finding the Fourth Proportional to 145,535.74, 200,838.49 and 81,874.06

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Solution

The fourth proportional to 145,535.74, 200,838.49 and 81,874.06 is: 112,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,535.74 : 200,838.49 = 81,874.06 : x
  2. Step 2: Convert to fraction form
    145,535.74/200,838.49 = 81,874.06/x
  3. Step 3: Cross multiply
    145,535.74x = 200,838.49 × 81,874.06
  4. Step 4: Simplify right side
    145,535.74x = 16,443,462,580.57
  5. Step 5: Solve for x
    x = 16,443,462,580.57/145,535.74
  6. Step 6: Final answer
    x = 112,985.74

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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.