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Finding the Fourth Proportional to 76,364.85, 105,383.25 and 42,378.48

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Solution

The fourth proportional to 76,364.85, 105,383.25 and 42,378.48 is: 58,482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364.85 : 105,383.25 = 42,378.48 : x
  2. Step 2: Convert to fraction form
    76,364.85/105,383.25 = 42,378.48/x
  3. Step 3: Cross multiply
    76,364.85x = 105,383.25 × 42,378.48
  4. Step 4: Simplify right side
    76,364.85x = 4,465,981,952.46
  5. Step 5: Solve for x
    x = 4,465,981,952.46/76,364.85
  6. Step 6: Final answer
    x = 58,482.17

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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.