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Finding the Fourth Proportional to 65,838.56, 90,864.12 and 40,362

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Solution

The fourth proportional to 65,838.56, 90,864.12 and 40,362 is: 55,703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838.56 : 90,864.12 = 40,362 : x
  2. Step 2: Convert to fraction form
    65,838.56/90,864.12 = 40,362/x
  3. Step 3: Cross multiply
    65,838.56x = 90,864.12 × 40,362
  4. Step 4: Simplify right side
    65,838.56x = 3,667,457,611.44
  5. Step 5: Solve for x
    x = 3,667,457,611.44/65,838.56
  6. Step 6: Final answer
    x = 55,703.79

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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.