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Finding the Fourth Proportional to 76,512.84, 105,585.68 and 42,520.48

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Solution

The fourth proportional to 76,512.84, 105,585.68 and 42,520.48 is: 58,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512.84 : 105,585.68 = 42,520.48 : x
  2. Step 2: Convert to fraction form
    76,512.84/105,585.68 = 42,520.48/x
  3. Step 3: Cross multiply
    76,512.84x = 105,585.68 × 42,520.48
  4. Step 4: Simplify right side
    76,512.84x = 4,489,553,794.73
  5. Step 5: Solve for x
    x = 4,489,553,794.73/76,512.84
  6. Step 6: Final answer
    x = 58,677.13

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1.5x scale

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.