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Finding the Fourth Proportional to 65,488.44, 90,334.67 and 39,983.16

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Solution

The fourth proportional to 65,488.44, 90,334.67 and 39,983.16 is: 55,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,488.44 : 90,334.67 = 39,983.16 : x
  2. Step 2: Convert to fraction form
    65,488.44/90,334.67 = 39,983.16/x
  3. Step 3: Cross multiply
    65,488.44x = 90,334.67 × 39,983.16
  4. Step 4: Simplify right side
    65,488.44x = 3,611,865,364.24
  5. Step 5: Solve for x
    x = 3,611,865,364.24/65,488.44
  6. Step 6: Final answer
    x = 55,152.72

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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.