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Finding the Fourth Proportional to 58,176, 80,282.88 and 31,680

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Solution

The fourth proportional to 58,176, 80,282.88 and 31,680 is: 43,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,176 : 80,282.88 = 31,680 : x
  2. Step 2: Convert to fraction form
    58,176/80,282.88 = 31,680/x
  3. Step 3: Cross multiply
    58,176x = 80,282.88 × 31,680
  4. Step 4: Simplify right side
    58,176x = 2,543,361,638.40
  5. Step 5: Solve for x
    x = 2,543,361,638.40/58,176
  6. Step 6: Final answer
    x = 43,718.40

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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.