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Finding the Fourth Proportional to 148,492, 204,928.74 and 81,424

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Solution

The fourth proportional to 148,492, 204,928.74 and 81,424 is: 112,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,492 : 204,928.74 = 81,424 : x
  2. Step 2: Convert to fraction form
    148,492/204,928.74 = 81,424/x
  3. Step 3: Cross multiply
    148,492x = 204,928.74 × 81,424
  4. Step 4: Simplify right side
    148,492x = 16,686,117,725.76
  5. Step 5: Solve for x
    x = 16,686,117,725.76/148,492
  6. Step 6: Final answer
    x = 112,370.48

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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.